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102031020 = 223257136229
BaseRepresentation
bin1100001010011…
…01111010101100
321002222201020200
412011031322230
5202104443040
614042513500
72346151350
oct605157254
9232881220
10102031020
1152659463
122a205890
13181a50b0
14d79d460
158e56630
hex614deac

102031020 has 144 divisors (see below), whose sum is σ = 380976960. Its totient is φ = 21523968.

The previous prime is 102030953. The next prime is 102031037. The reversal of 102031020 is 20130201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102030993 and 102031011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13266 + ... + 19494.

Almost surely, 2102031020 is an apocalyptic number.

102031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190488480).

102031020 is an abundant number, since it is smaller than the sum of its proper divisors (278945940).

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

102031020 is a wasteful number, since it uses less digits than its factorization.

102031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102031020 is about 10101.0405404592. The cubic root of 102031020 is about 467.2802326222.

Adding to 102031020 its reverse (20130201), we get a palindrome (122161221).

The spelling of 102031020 in words is "one hundred two million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 6229 8190 12458 16380 18687 24916 31145 37374 43603 56061 62290 74748 80977 87206 93435 112122 124580 130809 161954 174412 186870 218015 224244 242931 261618 280305 323908 373740 392427 404885 436030 485862 523236 560610 566839 654045 728793 784854 809770 872060 971724 1121220 1133678 1214655 1308090 1457586 1569708 1619540 1700517 1962135 2267356 2429310 2616180 2834195 2915172 3401034 3643965 3924270 4858620 5101551 5668390 6802068 7287930 7848540 8502585 10203102 11336780 14575860 17005170 20406204 25507755 34010340 51015510 102031020