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102520225640 = 2357537197301
BaseRepresentation
bin101111101111010101…
…1100111111101101000
3100210121210220001220002
41133132223213331220
53134430134210030
6115032552122132
710256355353060
oct1373653477550
9323553801802
10102520225640
113a529aa3a08
1217a51996348
13988a9a0c11
144d67a583a0
152a0060d245
hex17deae7f68

102520225640 has 128 divisors (see below), whose sum is σ = 272383326720. Its totient is φ = 34000512000.

The previous prime is 102520225627. The next prime is 102520225649. The reversal of 102520225640 is 46522025201.

It is not an unprimeable number, because it can be changed into a prime (102520225649) 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, 1004990 + ... + 1102290.

It is an arithmetic number, because the mean of its divisors is an integer number (2127994740).

Almost surely, 2102520225640 is an apocalyptic number.

102520225640 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 102520225640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136191663360).

102520225640 is an abundant number, since it is smaller than the sum of its proper divisors (169863101080).

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

102520225640 is a wasteful number, since it uses less digits than its factorization.

102520225640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97443 (or 97439 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 102520225640 in words is "one hundred two billion, five hundred twenty million, two hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 71 106 140 142 212 265 280 284 355 371 424 497 530 568 710 742 994 1060 1420 1484 1855 1988 2120 2485 2840 2968 3710 3763 3976 4970 7420 7526 9940 14840 15052 18815 19880 26341 30104 37630 52682 75260 97301 105364 131705 150520 194602 210728 263410 389204 486505 526820 681107 778408 973010 1053640 1362214 1946020 2724428 3405535 3892040 5156953 5448856 6811070 6908371 10313906 13622140 13816742 20627812 25784765 27244280 27633484 34541855 36098671 41255624 48358597 51569530 55266968 69083710 72197342 96717194 103139060 138167420 144394684 180493355 193434388 206278120 241792985 276334840 288789368 360986710 366143663 386868776 483585970 721973420 732287326 967171940 1443946840 1464574652 1830718315 1934343880 2563005641 2929149304 3661436630 5126011282 7322873260 10252022564 12815028205 14645746520 20504045128 25630056410 51260112820 102520225640