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20100113322300 = 223252112030314477
BaseRepresentation
bin1001001000111111011000…
…00111010101000100111100
32122011112220110100012212200
410210133230013111010330
510113310013002303200
6110425510430031500
74143120355150044
oct444375407250474
978145813305780
1020100113322300
11644a456a63930
122307653348590
13b2a58141ca9b
144d6bca37a724
1524ccb4007800
hex1247ec1d513c

20100113322300 has 108 divisors (see below), whose sum is σ = 68730205709256. Its totient is φ = 4872754742400.

The previous prime is 20100113322217. The next prime is 20100113322329. The reversal of 20100113322300 is 322331100102.

20100113322300 is a `hidden beast` number, since 2 + 0 + 100 + 1 + 1 + 332 + 230 + 0 = 666.

It is a super-4 number, since 4×201001133223004 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1015147339 + ... + 1015167138.

Almost surely, 220100113322300 is an apocalyptic number.

20100113322300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100113322300 is an abundant number, since it is smaller than the sum of its proper divisors (48630092386956).

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

20100113322300 is a wasteful number, since it uses less digits than its factorization.

20100113322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030314508 (or 2030314498 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20100113322300 its reverse (322331100102), we get a palindrome (20422444422402).

The spelling of 20100113322300 in words is "twenty trillion, one hundred billion, one hundred thirteen million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 2030314477 4060628954 6090943431 8121257908 10151572385 12181886862 18272830293 20303144770 22333459247 24363773724 30454717155 36545660586 40606289540 44666918494 50757861925 60909434310 67000377741 73091321172 89333836988 91364151465 101515723850 111667296235 121818868620 134000755482 152273585775 182728302930 201001133223 203031447700 223334592470 268001510964 304547171550 335001888705 365456605860 402002266446 446669184940 456820757325 558336481175 609094343100 670003777410 804004532892 913641514650 1005005666115 1116672962350 1340007554820 1675009443525 1827283029300 2010011332230 2233345924700 3350018887050 4020022664460 5025028330575 6700037774100 10050056661150 20100113322300