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110201002121112 = 23372194948080213
BaseRepresentation
bin11001000011101000101011…
…100101011101011110011000
3112110012010001022111111100020
4121003220223211131132120
5103421013123020333422
61030213350320510440
732132521364410500
oct3103505345353630
9473163038444306
10110201002121112
1132127a89843861
121043983877b420
134964baa0c10b6
141d2da85162a00
15cb18aab3695c
hex643a2b95d798

110201002121112 has 96 divisors (see below), whose sum is σ = 320646947166000. Its totient is φ = 31469844999936.

The previous prime is 110201002121059. The next prime is 110201002121137. The reversal of 110201002121112 is 211121200102011.

It is a happy number.

It is a super-2 number, since 2×1102010021211122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110201002121091 and 110201002121100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21748083 + ... + 26332130.

Almost surely, 2110201002121112 is an apocalyptic number.

110201002121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110201002121112 is an abundant number, since it is smaller than the sum of its proper divisors (210445945044888).

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

110201002121112 is a wasteful number, since it uses less digits than its factorization.

110201002121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48082185 (or 48082174 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110201002121112 its reverse (211121200102011), we get a palindrome (321322202223123).

The spelling of 110201002121112 in words is "one hundred ten trillion, two hundred one billion, two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1949 3898 5847 7796 11694 13643 15592 23388 27286 40929 46776 54572 81858 95501 109144 163716 191002 286503 327432 382004 573006 764008 1146012 2292024 48080213 96160426 144240639 192320852 288481278 336561491 384641704 576962556 673122982 1009684473 1153925112 1346245964 2019368946 2355930437 2692491928 4038737892 4711860874 7067791311 8077475784 9423721748 14135582622 18847443496 28271165244 56542330488 93708335137 187416670274 281125005411 374833340548 562250010822 655958345959 749666681096 1124500021644 1311916691918 1967875037877 2249000043288 2623833383836 3935750075754 4591708421713 5247666767672 7871500151508 9183416843426 13775125265139 15743000303016 18366833686852 27550250530278 36733667373704 55100501060556 110201002121112