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10420310414130 = 2357928771152819
BaseRepresentation
bin1001011110100010101011…
…1001101001001100110010
31100220011122100102120012120
42113220222321221030302
52331211243431223010
634055005143535110
72123562002044551
oct227505271511462
940804570376176
1010420310414130
113358257632141
121203638a5a496
135a7828577496
142804ba8dbd98
151310c9971e70
hex97a2ae69332

10420310414130 has 64 divisors (see below), whose sum is σ = 25326357350400. Its totient is φ = 2743462088640.

The previous prime is 10420310414081. The next prime is 10420310414131. The reversal of 10420310414130 is 3141401302401.

10420310414130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104203104141302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10420310414130.

It is not an unprimeable number, because it can be changed into a prime (10420310414131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68110861 + ... + 68263679.

It is an arithmetic number, because the mean of its divisors is an integer number (395724333600).

Almost surely, 210420310414130 is an apocalyptic number.

10420310414130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10420310414130 is an abundant number, since it is smaller than the sum of its proper divisors (14906046936270).

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

10420310414130 is a wasteful number, since it uses less digits than its factorization.

10420310414130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181679.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10420310414130 its reverse (3141401302401), we get a palindrome (13561711716531).

The spelling of 10420310414130 in words is "ten trillion, four hundred twenty billion, three hundred ten million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 79 158 237 395 474 790 1185 2370 28771 57542 86313 143855 152819 172626 287710 305638 431565 458457 764095 863130 916914 1528190 2272909 2292285 4545818 4584570 6818727 11364545 12072701 13637454 22729090 24145402 34093635 36218103 60363505 68187270 72436206 120727010 181090515 362181030 4396755449 8793510898 13190266347 21983777245 26380532694 43967554490 65951331735 131902663470 347343680471 694687360942 1042031041413 1736718402355 2084062082826 3473436804710 5210155207065 10420310414130