Search a number
-
+
101112021012 = 22347597142797
BaseRepresentation
bin101111000101010111…
…1110000000000010100
3100122222200002212022010
41132022233300000110
53124034134133022
6114241125304220
710206435666162
oct1361257600024
9318880085263
10101112021012
1139977110a32
121771a265070
1396c500bb42
144c72a0c232
15296bb9750c
hex178abf0014

101112021012 has 96 divisors (see below), whose sum is σ = 248488611840. Its totient is φ = 31970323840.

The previous prime is 101112020981. The next prime is 101112021029. The reversal of 101112021012 is 210120211101.

It is a super-2 number, since 2×1011120210122 (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2341198 + ... + 2383994.

It is an arithmetic number, because the mean of its divisors is an integer number (2588423040).

Almost surely, 2101112021012 is an apocalyptic number.

101112021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112021012 is an abundant number, since it is smaller than the sum of its proper divisors (147376590828).

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

101112021012 is a wasteful number, since it uses less digits than its factorization.

101112021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42981 (or 42979 counting only the distinct ones).

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

Adding to 101112021012 its reverse (210120211101), we get a palindrome (311232232113).

The spelling of 101112021012 in words is "one hundred one billion, one hundred twelve million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 47 59 71 94 118 141 142 177 188 213 236 282 284 354 426 564 708 852 2773 3337 4189 5546 6674 8319 8378 10011 11092 12567 13348 16638 16756 20022 25134 33276 40044 42797 50268 85594 128391 171188 196883 256782 393766 513564 590649 787532 1181298 2011459 2362596 2525023 3038587 4022918 5050046 6034377 6077174 7575069 8045836 9115761 10100092 12068754 12154348 15150138 18231522 24137508 30300276 36463044 118676081 142813589 179276633 237352162 285627178 356028243 358553266 428440767 474704324 537829899 571254356 712056486 717106532 856881534 1075659798 1424112972 1713763068 2151319596 8426001751 16852003502 25278005253 33704007004 50556010506 101112021012