Search a number
-
+
101202101112112 = 24721113902687501
BaseRepresentation
bin10111000000101011110011…
…010010011000110100110000
3111021022211022102122012020021
4113000223303102120310300
5101231043400341041422
6555123334201253224
730213416260043500
oct2700536322306460
9437284272565207
10101202101112112
112a27862a820960
12b42578aa94214
134461417b1aa50
141adc2ca3d5a00
15ba7773b91dc7
hex5c0af3498d30

101202101112112 has 120 divisors (see below), whose sum is σ = 267968201093712. Its totient is φ = 36396360000000.

The previous prime is 101202101112107. The next prime is 101202101112127. The reversal of 101202101112112 is 211211101202101.

It is a super-2 number, since 2×1012021011121122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 451231639 + ... + 451455862.

Almost surely, 2101202101112112 is an apocalyptic number.

It is an amenable number.

101202101112112 is an abundant number, since it is smaller than the sum of its proper divisors (166766099981600).

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

101202101112112 is a wasteful number, since it uses less digits than its factorization.

101202101112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902687547 (or 902687534 counting only the distinct ones).

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

Adding to 101202101112112 its reverse (211211101202101), we get a palindrome (312413202314213).

The spelling of 101202101112112 in words is "one hundred one trillion, two hundred two billion, one hundred one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 286 308 364 392 539 572 616 637 728 784 1001 1078 1144 1232 1274 1456 2002 2156 2288 2548 4004 4312 5096 7007 8008 8624 10192 14014 16016 28028 56056 112112 902687501 1805375002 3610750004 6318812507 7221500008 9929562511 11734937513 12637625014 14443000016 19859125022 23469875026 25275250028 39718250044 44231687549 46939750052 50550500056 69506937577 79436500088 82144562591 88463375098 93879500104 101101000112 129084312643 139013875154 158873000176 164289125182 176926750196 187759000208 258168625286 278027750308 328578250364 353853500392 486548563039 516337250572 556055500616 575011938137 657156500728 707707000784 903590188501 973097126078 1032674501144 1112111001232 1150023876274 1314313001456 1807180377002 1946194252156 2065349002288 2300047752548 3614360754004 3892388504312 4600095505096 6325131319507 7228721508008 7784777008624 9200191010192 12650262639014 14457443016016 25300525278028 50601050556056 101202101112112