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10020112001112 = 23319197607318367
BaseRepresentation
bin1001000111001111110100…
…1101110110100001011000
31022110220122211111202201110
42101303331031312201120
52303132142133013422
633151101555020320
72052633500466123
oct221637515664130
938426584452643
1010020112001112
113213562001144
121159b6b29a6a0
13578b7aab92b5
14268d9424b3ba
151259a593460c
hex91cfd376858

10020112001112 has 128 divisors (see below), whose sum is σ = 26508374323200. Its totient is φ = 3147493966848.

The previous prime is 10020112001077. The next prime is 10020112001147. The reversal of 10020112001112 is 21110021102001.

It is an interprime number because it is at equal distance from previous prime (10020112001077) and next prime (10020112001147).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545540553 + ... + 545558919.

It is an arithmetic number, because the mean of its divisors is an integer number (207096674400).

Almost surely, 210020112001112 is an apocalyptic number.

10020112001112 is a gapful number since it is divisible by the number (12) 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 10020112001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13254187161600).

10020112001112 is an abundant number, since it is smaller than the sum of its proper divisors (16488262322088).

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

10020112001112 is a wasteful number, since it uses less digits than its factorization.

10020112001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24665 (or 24661 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10020112001112 its reverse (21110021102001), we get a palindrome (31130133103113).

The spelling of 10020112001112 in words is "ten trillion, twenty billion, one hundred twelve million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 197 228 394 456 591 788 1182 1576 2364 3743 4728 6073 7486 11229 12146 14972 18219 18367 22458 24292 29944 36438 36734 44916 48584 55101 72876 73468 89832 110202 115387 145752 146936 220404 230774 346161 348973 440808 461548 692322 697946 923096 1046919 1196381 1384644 1395892 2093838 2392762 2769288 2791784 3589143 3618299 4187676 4785524 7178286 7236598 8375352 9571048 10854897 14356572 14473196 21709794 22731239 28713144 28946392 43419588 45462478 68193717 68747681 86839176 90924956 111542791 136387434 137495362 181849912 206243043 223085582 272774868 274990724 334628373 412486086 446171164 545549736 549981448 669256746 824972172 892342328 1338513492 1649944344 2119313029 2677026984 4238626058 6357939087 8477252116 12715878174 16954504232 21973929827 25431756348 43947859654 50863512696 65921789481 87895719308 131843578962 175791438616 263687157924 417504666713 527374315848 835009333426 1252514000139 1670018666852 2505028000278 3340037333704 5010056000556 10020112001112