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106512207228 = 22337294858247
BaseRepresentation
bin110001100110010011…
…1110100110101111100
3101011221000111202011000
41203030213310311330
53221114111112403
6120533034130300
710460320552260
oct1431447646574
9334830452130
10106512207228
1141198400849
1218786880990
13a075a459bb
145225cc20a0
152b85cec7a3
hex18cc9f4d7c

106512207228 has 96 divisors (see below), whose sum is σ = 326474265600. Its totient is φ = 29382671808.

The previous prime is 106512207169. The next prime is 106512207271. The reversal of 106512207228 is 822702215601.

It is a happy number.

It is a super-2 number, since 2×1065122072282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106512207192 and 106512207201.

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, 2407200 + ... + 2451047.

It is an arithmetic number, because the mean of its divisors is an integer number (3400773600).

Almost surely, 2106512207228 is an apocalyptic number.

106512207228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106512207228 is an abundant number, since it is smaller than the sum of its proper divisors (219962058372).

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

106512207228 is a wasteful number, since it uses less digits than its factorization.

106512207228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858296 (or 4858288 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 106512207228 in words is "one hundred six billion, five hundred twelve million, two hundred seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 3132 3654 5481 7308 10962 21924 4858247 9716494 14574741 19432988 29149482 34007729 43724223 58298964 68015458 87448446 102023187 131172669 136030916 140889163 174896892 204046374 262345338 281778326 306069561 408092748 422667489 524690676 563556652 612139122 845334978 918208683 986224141 1224278244 1268002467 1690669956 1836417366 1972448282 2536004934 2958672423 3672834732 3804007401 3944896564 5072009868 5917344846 7608014802 8876017269 11834689692 15216029604 17752034538 26628051807 35504069076 53256103614 106512207228