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10120688179812 = 2234731143947889
BaseRepresentation
bin1001001101000110100000…
…0001100001101001100100
31022211112021011100000120000
42103101220001201221210
52311304132133223222
633305214023341300
72063124042060660
oct223215001415144
938745234300500
1010120688179812
1132521836a4891
121175559bb1830
135854b8aa3a82
1426dbb5a138a0
151283e05339ac
hex93468061a64

10120688179812 has 120 divisors (see below), whose sum is σ = 31212508884480. Its totient is φ = 2798346942720.

The previous prime is 10120688179799. The next prime is 10120688179837. The reversal of 10120688179812 is 21897188602101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71903637 + ... + 72044252.

It is an arithmetic number, because the mean of its divisors is an integer number (260104240704).

Almost surely, 210120688179812 is an apocalyptic number.

10120688179812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120688179812 is an abundant number, since it is smaller than the sum of its proper divisors (21091820704668).

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

10120688179812 is a wasteful number, since it uses less digits than its factorization.

10120688179812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143947943 (or 143947932 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 10120688179812 in words is "ten trillion, one hundred twenty billion, six hundred eighty-eight million, one hundred seventy-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1302 1674 1953 2268 2511 2604 3348 3906 5022 5859 7812 10044 11718 17577 23436 35154 70308 143947889 287895778 431843667 575791556 863687334 1007635223 1295531001 1727374668 2015270446 2591062002 3022905669 3886593003 4030540892 4462384559 5182124004 6045811338 7773186006 8924769118 9068717007 11659779009 12091622676 13387153677 15546372012 17849538236 18137434014 23319558018 26774307354 27206151021 31236691913 36274868028 40161461031 46639116036 53548614708 54412302042 62473383826 80322922062 81618453063 93710075739 108824604084 120484383093 124946767652 160645844124 163236906126 187420151478 240968766186 281130227217 326473812252 361453149279 374840302956 481937532372 562260454434 722906298558 843390681651 1124520908868 1445812597116 1686781363302 2530172044953 3373562726604 5060344089906 10120688179812