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10302410200420 = 2251371857365099
BaseRepresentation
bin1001010111101011011110…
…0000000001010101100100
31100110220022200101010222201
42111322313200001111210
52322243314002403140
633524510101104244
72112216220546222
oct225726740012544
940426280333881
1010302410200420
113312255a7a598
1211a48143b8084
13599689404910
142788d43c7b12
1512cec8ee049a
hex95eb7801564

10302410200420 has 96 divisors (see below), whose sum is σ = 23630575046400. Its totient is φ = 3749894776320.

The previous prime is 10302410200351. The next prime is 10302410200451. The reversal of 10302410200420 is 2400201420301.

It is a super-2 number, since 2×103024102004202 (a number of 27 digits) contains 22 as substring.

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, 158225031 + ... + 158290129.

It is an arithmetic number, because the mean of its divisors is an integer number (246151823400).

Almost surely, 210302410200420 is an apocalyptic number.

10302410200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302410200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815287523200).

10302410200420 is an abundant number, since it is smaller than the sum of its proper divisors (13328164845980).

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

10302410200420 is a wasteful number, since it uses less digits than its factorization.

10302410200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73765 (or 73763 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10302410200420 its reverse (2400201420301), we get a palindrome (12702611620721).

The spelling of 10302410200420 in words is "ten trillion, three hundred two billion, four hundred ten million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 3692 4615 8573 9230 17146 18460 34292 42865 65099 85730 111449 130198 171460 222898 260396 325495 445796 557245 608683 650990 846287 1114490 1217366 1301980 1692574 2228980 2434732 3043415 3385148 4231435 4622029 6086830 7912879 8462870 9244058 12173660 15825758 16925740 18488116 23110145 31651516 39564395 46220290 60086377 79128790 92440580 120172754 158257580 240345508 300431885 558093727 600863770 1116187454 1201727540 2232374908 2790468635 5580937270 7255218451 11161874540 14510436902 29020873804 36276092255 39624654617 72552184510 79249309234 145104369020 158498618468 198123273085 396246546170 515120510021 792493092340 1030241020042 2060482040084 2575602550105 5151205100210 10302410200420