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10402323131020 = 2252389613141443
BaseRepresentation
bin1001011101011111101011…
…0001100110101010001100
31100211110012210011220110211
42113113322301212222030
52330412424210143040
634042432234012204
72122354156466122
oct227277261465214
940743183156424
1010402323131020
113350667246107
121200058b77064
135a5c1cb7a2b2
1427d691a61912
151308c577b8ea
hex975fac66a8c

10402323131020 has 96 divisors (see below), whose sum is σ = 23055091637760. Its totient is φ = 3934563156480.

The previous prime is 10402323131003. The next prime is 10402323131021. The reversal of 10402323131020 is 2013132320401.

It is a junction number, because it is equal to n+sod(n) for n = 10402323130982 and 10402323131000.

It is not an unprimeable number, because it can be changed into a prime (10402323131021) 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, 250982419 + ... + 251023861.

It is an arithmetic number, because the mean of its divisors is an integer number (240157204560).

Almost surely, 210402323131020 is an apocalyptic number.

10402323131020 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 10402323131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11527545818880).

10402323131020 is an abundant number, since it is smaller than the sum of its proper divisors (12652768506740).

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

10402323131020 is a wasteful number, since it uses less digits than its factorization.

10402323131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47695 (or 47693 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10402323131020 its reverse (2013132320401), we get a palindrome (12415455451421).

The spelling of 10402323131020 in words is "ten trillion, four hundred two billion, three hundred twenty-three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 89 92 115 178 230 356 445 460 890 1780 2047 4094 6131 8188 10235 12262 20470 24524 30655 40940 41443 61310 82886 122620 141013 165772 207215 282026 414430 545659 564052 705065 828860 953189 1091318 1410130 1906378 2182636 2728295 2820260 3688427 3812756 4765945 5456590 7376854 9531890 10913180 12550157 14753708 18442135 19063780 25100314 36884270 50200628 62750785 73768540 84833821 125501570 169667642 251003140 254087033 339335284 424169105 508174066 848338210 1016348132 1270435165 1696676420 2540870330 5081740660 5844001759 11688003518 22613745937 23376007036 29220008795 45227491874 58440017590 90454983748 113068729685 116880035180 226137459370 452274918740 520116156551 1040232313102 2080464626204 2600580782755 5201161565510 10402323131020