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1302130201320 = 2332513278232949
BaseRepresentation
bin10010111100101101000…
…000100001001011101000
311121111000200200220002100
4102330231000201023220
5132313230312420240
62434105041133400
7163035000043014
oct22745500411350
94544020626070
101302130201320
11462259608a53
1219044092a260
1395a3752aab0
1447048457544
1523d10e55e30
hex12f2d0212e8

1302130201320 has 96 divisors (see below), whose sum is σ = 4557455721000. Its totient is φ = 320524356096.

The previous prime is 1302130201301. The next prime is 1302130201327. The reversal of 1302130201320 is 231020312031.

1302130201320 is a `hidden beast` number, since 1 + 302 + 130 + 201 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 923248096164 + 378882105156 = 960858^2 + 615534^2 .

It is a super-3 number, since 3×13021302013203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 1302130201293 and 1302130201302.

It is not an unprimeable number, because it can be changed into a prime (1302130201327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139111795 + ... + 139121154.

Almost surely, 21302130201320 is an apocalyptic number.

1302130201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302130201320 is an abundant number, since it is smaller than the sum of its proper divisors (3255325519680).

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

1302130201320 is a wasteful number, since it uses less digits than its factorization.

1302130201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278232979 (or 278232972 counting only the distinct ones).

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

Adding to 1302130201320 its reverse (231020312031), we get a palindrome (1533150513351).

The spelling of 1302130201320 in words is "one trillion, three hundred two billion, one hundred thirty million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 278232949 556465898 834698847 1112931796 1391164745 1669397694 2225863592 2504096541 2782329490 3338795388 3617028337 4173494235 5008193082 5564658980 6677590776 7234056674 8346988470 10016386164 10851085011 11129317960 12520482705 14468113348 16693976940 18085141685 20032772328 21702170022 25040965410 28936226696 32553255033 33387953880 36170283370 43404340044 50081930820 54255425055 65106510066 72340566740 86808680088 100163861640 108510850110 130213020132 144681133480 162766275165 217021700220 260426040264 325532550330 434043400440 651065100660 1302130201320