Search a number
-
+
2102010101112 = 2337110731336833
BaseRepresentation
bin11110100101101001100…
…100001011110101111000
321102221122200211220120010
4132211221210023311320
5233414404041213422
64245352231301520
7304602525025455
oct36455144136570
97387580756503
102102010101112
117405039a2679
1229b472b1a8a0
131232ac646a4c
1473a4887882c
1539a28922b0c
hex1e96990bd78

2102010101112 has 128 divisors (see below), whose sum is σ = 5396175106560. Its totient is φ = 682140426240.

The previous prime is 2102010101083. The next prime is 2102010101129. The reversal of 2102010101112 is 2111010102012.

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, 57050248 + ... + 57087080.

It is an arithmetic number, because the mean of its divisors is an integer number (42157618020).

Almost surely, 22102010101112 is an apocalyptic number.

It is an amenable number.

2102010101112 is an abundant number, since it is smaller than the sum of its proper divisors (3294165005448).

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

2102010101112 is a wasteful number, since it uses less digits than its factorization.

2102010101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37333 (or 37329 counting only the distinct ones).

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

Adding to 2102010101112 its reverse (2111010102012), we get a palindrome (4213020203124).

The spelling of 2102010101112 in words is "two trillion, one hundred two billion, ten million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 71 107 142 213 214 284 313 321 426 428 568 626 642 852 856 939 1252 1284 1704 1878 2504 2568 3756 7512 7597 15194 22223 22791 30388 33491 36833 44446 45582 60776 66669 66982 73666 88892 91164 100473 110499 133338 133964 147332 177784 182328 200946 220998 266676 267928 294664 401892 441996 533352 803784 883992 2377861 2615143 3941131 4755722 5230286 7133583 7845429 7882262 9511444 10460572 11528729 11823393 14267166 15690858 15764524 19022888 20921144 23057458 23646786 28534332 31381716 31529048 34586187 46114916 47293572 57068664 62763432 69172374 92229832 94587144 138344748 276689496 279820301 559640602 818539759 839460903 1119281204 1233574003 1637079518 1678921806 2238562408 2455619277 2467148006 3274159036 3357843612 3700722009 4911238554 4934296012 6548318072 6715687224 7401444018 9822477108 9868592024 14802888036 19644954216 29605776072 87583754213 175167508426 262751262639 350335016852 525502525278 700670033704 1051005050556 2102010101112