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106006601112 = 23319941952973
BaseRepresentation
bin110001010111001111…
…1000101110110011000
3101010121210010021221120
41202232133011312120
53214100142213422
6120410533205240
710441641146046
oct1425637056630
9333553107846
10106006601112
1140a58a65455
1218665490820
139cc5079c99
1451b8aab396
152b5672845c
hex18ae7c5d98

106006601112 has 64 divisors (see below), whose sum is σ = 266988960000. Its totient is φ = 35073396864.

The previous prime is 106006601053. The next prime is 106006601161. The reversal of 106006601112 is 211106600601.

It is a super-2 number, since 2×1060066011122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1974658 + ... + 2027630.

It is an arithmetic number, because the mean of its divisors is an integer number (4171702500).

Almost surely, 2106006601112 is an apocalyptic number.

106006601112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106006601112 is an abundant number, since it is smaller than the sum of its proper divisors (160982358888).

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

106006601112 is a wasteful number, since it uses less digits than its factorization.

106006601112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53600 (or 53596 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 106006601112 in words is "one hundred six billion, six million, six hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 199 398 419 597 796 838 1194 1257 1592 1676 2388 2514 3352 4776 5028 10056 52973 83381 105946 158919 166762 211892 250143 317838 333524 423784 500286 635676 667048 1000572 1271352 2001144 10541627 21083254 22195687 31624881 42166508 44391374 63249762 66587061 84333016 88782748 126499524 133174122 177565496 252999048 266348244 532696488 4416941713 8833883426 13250825139 17667766852 26501650278 35335533704 53003300556 106006601112