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210010121111120 = 24511972460287267
BaseRepresentation
bin101111110000000011001010…
…101010110000011001010000
31000112120202211102112000202012
4233300003022222300121100
5210011301212001023440
62022353152345042052
762143505402003531
oct5760031252603120
91015522742460665
10210010121111120
1160a08879461a10
121b679450786328
139024b3c22a445
1439c0789000688
151942ca2814e65
hexbf00caab0650

210010121111120 has 80 divisors (see below), whose sum is σ = 538153395853248. Its totient is φ = 75580024811520.

The previous prime is 210010121111111. The next prime is 210010121111143. The reversal of 210010121111120 is 21111121010012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 210010121111095 and 210010121111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230058274 + ... + 1230228993.

Almost surely, 2210010121111120 is an apocalyptic number.

210010121111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010121111120 is an abundant number, since it is smaller than the sum of its proper divisors (328143274742128).

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

210010121111120 is a wasteful number, since it uses less digits than its factorization.

210010121111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460287388 (or 2460287382 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 210010121111120 its reverse (21111121010012), we get a palindrome (231121242121132).

The spelling of 210010121111120 in words is "two hundred ten trillion, ten billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 176 194 220 388 440 485 776 880 970 1067 1552 1940 2134 3880 4268 5335 7760 8536 10670 17072 21340 42680 85360 2460287267 4920574534 9841149068 12301436335 19682298136 24602872670 27063159937 39364596272 49205745340 54126319874 98411490680 108252639748 135315799685 196822981360 216505279496 238647864899 270631599370 433010558992 477295729798 541263198740 954591459596 1082526397480 1193239324495 1909182919192 2165052794960 2386478648990 2625126513889 3818365838384 4772957297980 5250253027778 9545914595960 10500506055556 13125632569445 19091829191920 21001012111112 26251265138890 42002024222224 52502530277780 105005060555560 210010121111120