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1312202007930 = 2351131271473321
BaseRepresentation
bin10011000110000101010…
…101011010010101111010
311122110000121120200100210
4103012011111122111322
5132444342203223210
62442452311011550
7163542406014462
oct23060525322572
94573017520323
101312202007930
11466557908370
12192391969bb6
139698106a188
1447721d4cba2
1524200299e20
hex1318555a57a

1312202007930 has 128 divisors (see below), whose sum is σ = 3559502610432. Its totient is φ = 306711360000.

The previous prime is 1312202007923. The next prime is 1312202007931. The reversal of 1312202007930 is 397002022131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1312202007931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2535670 + ... + 3008990.

It is an arithmetic number, because the mean of its divisors is an integer number (27808614144).

Almost surely, 21312202007930 is an apocalyptic number.

1312202007930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312202007930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779751305216).

1312202007930 is an abundant number, since it is smaller than the sum of its proper divisors (2247300602502).

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

1312202007930 is a wasteful number, since it uses less digits than its factorization.

1312202007930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473644.

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 1312202007930 in words is "one trillion, three hundred twelve billion, two hundred two million, seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 271 310 330 341 465 542 682 813 930 1023 1355 1626 1705 2046 2710 2981 3410 4065 5115 5962 8130 8401 8943 10230 14905 16802 17886 25203 29810 42005 44715 50406 84010 89430 92411 126015 184822 252030 277233 462055 473321 554466 924110 946642 1386165 1419963 2366605 2772330 2839926 4733210 5206531 7099815 10413062 14199630 14672951 15619593 26032655 29345902 31239186 44018853 52065310 73364755 78097965 88037706 128269991 146729510 156195930 161402461 220094265 256539982 322804922 384809973 440188530 484207383 641349955 769619946 807012305 968414766 1282699910 1410969901 1614024610 1924049865 2421036915 2821939802 3848099730 3976369721 4232909703 4842073830 7054849505 7952739442 8465819406 11929109163 14109699010 19881848605 21164548515 23858218326 39763697210 42329097030 43740066931 59645545815 87480133862 119291091630 131220200793 218700334655 262440401586 437400669310 656101003965 1312202007930