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10314312210020 = 22571353106928387
BaseRepresentation
bin1001011000010111110011…
…1010100101011001100100
31100112001001011002212210002
42112011330322211121210
52322442202411210040
633534155110320432
72113120162140530
oct226057472453144
940461034085702
1010314312210020
113317303392565
1211a6b96359118
1359a83517a550
14279302db8bc0
1512d473d56a15
hex9617cea5664

10314312210020 has 96 divisors (see below), whose sum is σ = 27161521406208. Its totient is φ = 3202719017472.

The previous prime is 10314312210001. The next prime is 10314312210061. The reversal of 10314312210020 is 2001221341301.

10314312210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10314312209974 and 10314312210001.

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, 53367734 + ... + 53560653.

It is an arithmetic number, because the mean of its divisors is an integer number (282932514648).

Almost surely, 210314312210020 is an apocalyptic number.

10314312210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10314312210020 is an abundant number, since it is smaller than the sum of its proper divisors (16847209196188).

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

10314312210020 is a wasteful number, since it uses less digits than its factorization.

10314312210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106928469 (or 106928467 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10314312210020 its reverse (2001221341301), we get a palindrome (12315533551321).

The spelling of 10314312210020 in words is "ten trillion, three hundred fourteen billion, three hundred twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 530 689 742 910 1060 1378 1484 1820 1855 2756 3445 3710 4823 6890 7420 9646 13780 19292 24115 48230 96460 106928387 213856774 427713548 534641935 748498709 1069283870 1390069031 1496997418 2138567740 2780138062 2993994836 3742493545 5560276124 5667204511 6950345155 7484987090 9730483217 11334409022 13900690310 14969974180 19460966434 22668818044 27801380620 28336022555 38921932868 39670431577 48652416085 56672045110 73673658643 79340863154 97304832170 113344090220 147347317286 158681726308 194609664340 198352157885 294694634572 368368293215 396704315770 515715610501 736736586430 793408631540 1031431221002 1473473172860 2062862442004 2578578052505 5157156105010 10314312210020