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10301020000 = 25542112441
BaseRepresentation
bin10011001011111110…
…10001011101100000
3222120220012000221021
421211333101131200
5132044030120000
64422054335224
7513161140165
oct114577213540
928526160837
1010301020000
114406725877
121bb595a514
13c8218460b
146da12006c
1540451e11a
hex265fd1760

10301020000 has 120 divisors (see below), whose sum is σ = 25472589912. Its totient is φ = 4099200000.

The previous prime is 10301019983. The next prime is 10301020007. The reversal of 10301020000 is 2010301.

It is a super-2 number, since 2×103010200002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301020007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4218780 + ... + 4221220.

Almost surely, 210301020000 is an apocalyptic number.

10301020000 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 10301020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736294956).

10301020000 is an abundant number, since it is smaller than the sum of its proper divisors (15171569912).

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

10301020000 is an equidigital number, since it uses as much as digits as its factorization.

10301020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10301020000 its reverse (2010301), we get a palindrome (10303030301).

The spelling of 10301020000 in words is "ten billion, three hundred one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 211 250 400 422 500 625 800 844 1000 1055 1250 1688 2000 2110 2441 2500 3376 4000 4220 4882 5000 5275 6752 8440 9764 10000 10550 12205 16880 19528 20000 21100 24410 26375 33760 39056 42200 48820 52750 61025 78112 84400 97640 105500 122050 131875 168800 195280 211000 244100 263750 305125 390560 422000 488200 515051 527500 610250 844000 976400 1030102 1055000 1220500 1525625 1952800 2060204 2110000 2441000 2575255 3051250 4120408 4220000 4882000 5150510 6102500 8240816 9764000 10301020 12205000 12876275 16481632 20602040 24410000 25752550 41204080 48820000 51505100 64381375 82408160 103010200 128762750 206020400 257525500 321906875 412040800 515051000 643813750 1030102000 1287627500 2060204000 2575255000 5150510000 10301020000