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1302130200020 = 2251329533258421
BaseRepresentation
bin10010111100101101000…
…000100000110111010100
311121111000200200211022012
4102330231000200313110
5132313230312400040
62434105041123352
7163035000036146
oct22745500406724
94544020624265
101302130200020
11462259607a81
12190440929558
1395a3752a320
1447048456c96
1523d10e55865
hex12f2d020dd4

1302130200020 has 96 divisors (see below), whose sum is σ = 3103842460320. Its totient is φ = 455448913920.

The previous prime is 1302130200013. The next prime is 1302130200053. The reversal of 1302130200020 is 200020312031.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 403270721296 + 898859478724 = 635036^2 + 948082^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1302130199968 and 1302130200004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1229591 + ... + 2028830.

It is an arithmetic number, because the mean of its divisors is an integer number (32331692295).

Almost surely, 21302130200020 is an apocalyptic number.

1302130200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302130200020 is an abundant number, since it is smaller than the sum of its proper divisors (1801712260300).

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

1302130200020 is a wasteful number, since it uses less digits than its factorization.

1302130200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258525 (or 3258523 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1302130200020 its reverse (200020312031), we get a palindrome (1502150512051).

The spelling of 1302130200020 in words is "one trillion, three hundred two billion, one hundred thirty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 53 58 65 106 116 130 145 212 260 265 290 377 530 580 689 754 1060 1378 1508 1537 1885 2756 3074 3445 3770 6148 6890 7540 7685 13780 15370 19981 30740 39962 79924 99905 199810 399620 3258421 6516842 13033684 16292105 32584210 42359473 65168420 84718946 94494209 169437892 172696313 188988418 211797365 345392626 377976836 423594730 472471045 690785252 847189460 863481565 944942090 1228424717 1726963130 1889884180 2245052069 2456849434 3453926260 4490104138 4913698868 5008193077 6142123585 8980208276 10016386154 11225260345 12284247170 20032772308 22450520690 24568494340 25040965385 44901041380 50081930770 65106510001 100163861540 130213020002 260426040004 325532550005 651065100010 1302130200020