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313010020230120 = 233254121206640937
BaseRepresentation
bin100011100101011100101001…
…1000100010010001111101000
31112001021110120111021112202200
41013022321103010102033220
5312011324010134330440
63025414452421100200
7122634141045011403
oct10712712304221750
91461243514245680
10313010020230120
11908098932a1434
122b133532557660
1310586945011785
145741aa1568d3a
15262c197a4cc30
hex11cae531123e8

313010020230120 has 96 divisors (see below), whose sum is σ = 1042094335693320. Its totient is φ = 81433501194240.

The previous prime is 313010020230101. The next prime is 313010020230143. The reversal of 313010020230120 is 21032020010313.

313010020230120 is a `hidden beast` number, since 3 + 130 + 10 + 0 + 202 + 301 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213536086539876 + 99473933690244 = 14612874^2 + 9973662^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313010020230093 and 313010020230102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10603305709 + ... + 10603335228.

Almost surely, 2313010020230120 is an apocalyptic number.

313010020230120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313010020230120 is an abundant number, since it is smaller than the sum of its proper divisors (729084315463200).

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

313010020230120 is a wasteful number, since it uses less digits than its factorization.

313010020230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21206640995 (or 21206640988 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313010020230120 its reverse (21032020010313), we get a palindrome (334042040240433).

The spelling of 313010020230120 in words is "three hundred thirteen trillion, ten billion, twenty million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 21206640937 42413281874 63619922811 84826563748 106033204685 127239845622 169653127496 190859768433 212066409370 254479691244 318099614055 381719536866 424132818740 508959382488 636199228110 763439073732 848265637480 869472278417 954298842165 1272398456220 1526878147464 1738944556834 1908597684330 2544796912440 2608416835251 3477889113668 3817195368660 4347361392085 5216833670502 6955778227336 7634390737320 7825250505753 8694722784170 10433667341004 13042084176255 15650501011506 17389445568340 20867334682008 26084168352510 31301002023012 34778891136680 39126252528765 52168336705020 62602004046024 78252505057530 104336673410040 156505010115060 313010020230120