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106701913230 = 235111917017849
BaseRepresentation
bin110001101011111101…
…1011111110010001110
3101012102020110210212020
41203113323133302032
53222011142210410
6121003532151010
710465113204063
oct1432773376216
9335366423766
10106701913230
11412854a2770
121881a308466
13a0a6137683
145243184c6a
152b977c1a70
hex18d7edfc8e

106701913230 has 64 divisors (see below), whose sum is σ = 294068448000. Its totient is φ = 24505701120.

The previous prime is 106701913229. The next prime is 106701913289. The reversal of 106701913230 is 32319107601.

It is a super-2 number, since 2×1067019132302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 106701913191 and 106701913200.

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, 8502655 + ... + 8515194.

It is an arithmetic number, because the mean of its divisors is an integer number (4594819500).

Almost surely, 2106701913230 is an apocalyptic number.

106701913230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106701913230 is an abundant number, since it is smaller than the sum of its proper divisors (187366534770).

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

106701913230 is a wasteful number, since it uses less digits than its factorization.

106701913230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17017889.

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 106701913230 in words is "one hundred six billion, seven hundred one million, nine hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 17017849 34035698 51053547 85089245 102107094 170178490 187196339 255267735 323339131 374392678 510535470 561589017 646678262 935981695 970017393 1123178034 1616695655 1871963390 1940034786 2807945085 3233391310 3556730441 4850086965 5615890170 7113460882 9700173930 10670191323 17783652205 21340382646 35567304410 53350956615 106701913230