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102000002000120 = 23572291794510943
BaseRepresentation
bin10111001100010010111001…
…111000101110010011111000
3111101011002211111220222220022
4113030102321320232103320
5101332132001003000440
61000534053134350012
730325154064510500
oct2714227170562370
9441132744828808
10102000002000120
112a555a59aa3754
12b53434a35b308
1344bb735c2a803
141b28b7da62a00
15bbd3c2a44cb5
hex5cc4b9e2e4f8

102000002000120 has 96 divisors (see below), whose sum is σ = 276175234281600. Its totient is φ = 33765517884672.

The previous prime is 102000002000093. The next prime is 102000002000129. The reversal of 102000002000120 is 21000200000201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 102000002000098 and 102000002000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000002000129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897198632 + ... + 897312311.

It is an arithmetic number, because the mean of its divisors is an integer number (2876825357100).

Almost surely, 2102000002000120 is an apocalyptic number.

102000002000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000002000120 is an abundant number, since it is smaller than the sum of its proper divisors (174175232281480).

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

102000002000120 is a wasteful number, since it uses less digits than its factorization.

102000002000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794510997 (or 1794510986 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102000002000120 its reverse (21000200000201), we get a palindrome (123000202000321).

The spelling of 102000002000120 in words is "one hundred two trillion, two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 490 580 812 980 1015 1160 1421 1624 1960 2030 2842 4060 5684 7105 8120 11368 14210 28420 56840 1794510943 3589021886 7178043772 8972554715 12561576601 14356087544 17945109430 25123153202 35890218860 50246306404 52040817347 62807883005 71780437720 87931036207 100492612808 104081634694 125615766010 175862072414 208163269388 251231532020 260204086735 351724144828 364285721429 416326538776 439655181035 502463064040 520408173470 703448289656 728571442858 879310362070 1040816346940 1457142885716 1758620724140 1821428607145 2081632693880 2550000050003 2914285771432 3517241448280 3642857214290 5100000100006 7285714428580 10200000200012 12750000250015 14571428857160 20400000400024 25500000500030 51000001000060 102000002000120