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106971388722 = 23311446340351
BaseRepresentation
bin110001110011111111…
…1011101101100110010
3101020010000112120202000
41203213333131230302
53223034133414342
6121050400034430
710504564541652
oct1434777355462
9336100476660
10106971388722
1141403618690
1218894602a16
13a119c08823
14526ac90362
152bb12a144c
hex18e7fddb32

106971388722 has 64 divisors (see below), whose sum is σ = 259389112320. Its totient is φ = 32407506000.

The previous prime is 106971388721. The next prime is 106971388739. The reversal of 106971388722 is 227883179601.

It is a happy number.

106971388722 is a `hidden beast` number, since 106 + 97 + 1 + 388 + 72 + 2 = 666.

It is a super-2 number, since 2×1069713887222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106971388721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2630847 + ... + 2671197.

It is an arithmetic number, because the mean of its divisors is an integer number (4052954880).

Almost surely, 2106971388722 is an apocalyptic number.

106971388722 is an abundant number, since it is smaller than the sum of its proper divisors (152417723598).

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

106971388722 is a wasteful number, since it uses less digits than its factorization.

106971388722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44836 (or 44830 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 106971388722 in words is "one hundred six billion, nine hundred seventy-one million, three hundred eighty-eight thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 4463 8926 13389 26778 40167 40351 49093 80334 80702 98186 120501 121053 147279 241002 242106 294558 363159 441837 443861 726318 883674 887722 1089477 1325511 1331583 2178954 2651022 2663166 3994749 7989498 11984247 23968494 180086513 360173026 540259539 1080519078 1620778617 1980951643 3241557234 3961903286 4862335851 5942854929 9724671702 11885709858 17828564787 35657129574 53485694361 106971388722