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70283312100 = 22325288372
BaseRepresentation
bin100000101110100110…
…1100011101111100100
320201102011110012000100
41001131031203233210
52122420011441400
652142051144100
75035454203311
oct1013515435744
9221364405010
1070283312100
1127897108701
12117558a5030
136821051751
14358a4c3d08
151c65425100
hex105d363be4

70283312100 has 81 divisors (see below), whose sum is σ = 220324069147. Its totient is φ = 18740095680.

The previous prime is 70283312087. The next prime is 70283312101. The reversal of 70283312100 is 121338207.

The square root of 70283312100 is 265110.

It is a perfect power (a square), and thus also a powerful number.

70283312100 is a `hidden beast` number, since 70 + 283 + 312 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23875812324 + 46407499776 = 154518^2 + 215424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70283312101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7948882 + ... + 7957718.

Almost surely, 270283312100 is an apocalyptic number.

70283312100 is the 265110-th square number.

It is an amenable number.

70283312100 is an abundant number, since it is smaller than the sum of its proper divisors (150040757047).

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

70283312100 is an equidigital number, since it uses as much as digits as its factorization.

70283312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17694 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 70283312100 in words is "seventy billion, two hundred eighty-three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 8837 17674 26511 35348 44185 53022 79533 88370 106044 132555 159066 176740 220925 265110 318132 397665 441850 530220 662775 795330 883700 1325550 1590660 1988325 2651100 3976650 7953300 78092569 156185138 234277707 312370276 390462845 468555414 702833121 780925690 937110828 1171388535 1405666242 1561851380 1952314225 2342777070 2811332484 3514165605 3904628450 4685554140 5856942675 7028331210 7809256900 11713885350 14056662420 17570828025 23427770700 35141656050 70283312100