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10111112010100 = 22527313715116691
BaseRepresentation
bin1001001100100010110100…
…1111010101100101110100
31022210121112210002012021201
42103020231033111211310
52311130024133310400
633300551501022244
72062334532011563
oct223105517254564
938717483065251
1010111112010100
11324910a151842
121173726b54984
13584620b4c86a
1426d547c99bda
1512802e99506a
hex9322d3d5974

10111112010100 has 144 divisors (see below), whose sum is σ = 22422202137216. Its totient is φ = 3956712192000.

The previous prime is 10111112010023. The next prime is 10111112010101. The reversal of 10111112010100 is 101021111101.

10111112010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111112010101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1511147755 + ... + 1511154445.

It is an arithmetic number, because the mean of its divisors is an integer number (155709737064).

Almost surely, 210111112010100 is an apocalyptic number.

10111112010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111112010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211101068608).

10111112010100 is an abundant number, since it is smaller than the sum of its proper divisors (12311090127116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10111112010100 is a wasteful number, since it uses less digits than its factorization.

10111112010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8426 (or 8419 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111112010100 its reverse (101021111101), we get a palindrome (10212133121201).

It can be divided in two parts, 10111 and 112010100, that added together give a palindrome (112020211).

The spelling of 10111112010100 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 137 146 274 292 365 548 685 730 1370 1460 1511 1825 2740 3022 3425 3650 6044 6691 6850 7300 7555 10001 13382 13700 15110 20002 26764 30220 33455 37775 40004 50005 66910 75550 100010 110303 133820 151100 167275 200020 207007 220606 250025 334550 414014 441212 488443 500050 551515 669100 828028 916667 976886 1000100 1035035 1103030 1833334 1953772 2070070 2206060 2442215 2757575 3666668 4140140 4583335 4884430 5175175 5515150 9166670 9768860 10110101 10350350 11030300 12211075 15111511 18333340 20220202 20700700 22916675 24422150 30223022 40440404 45833350 48844300 50550505 60446044 66916691 75557555 91666700 101101010 133833382 151115110 202202020 252752525 267666764 302230220 334583455 377787775 505505050 669166910 738037373 755575550 1011010100 1338333820 1385083837 1476074746 1511151100 1672917275 2770167674 2952149492 3345834550 3690186865 5540335348 6691669100 6925419185 7380373730 13850838370 14760747460 18450934325 27701676740 34627095925 36901868650 69254191850 73803737300 101111120101 138508383700 202222240202 404444480404 505555600505 1011111201010 2022222402020 2527778002525 5055556005050 10111112010100