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70971358100 = 22524316679901
BaseRepresentation
bin100001000011000111…
…0001111101110010100
320210012010010112200112
41002012032033232110
52130322131424400
652334230302152
75061510406316
oct1020616175624
9223163115615
1070971358100
112810a532865
12119081b7958
136900766a66
143613a297b6
151ca5a35835
hex108638fb94

70971358100 has 72 divisors (see below), whose sum is σ = 157699885728. Its totient is φ = 27708912000.

The previous prime is 70971358091. The next prime is 70971358109. The reversal of 70971358100 is 185317907.

It is an interprime number because it is at equal distance from previous prime (70971358091) and next prime (70971358109).

It is a super-2 number, since 2×709713581002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70971358109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7163150 + ... + 7173050.

Almost surely, 270971358100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70971358100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78849942864).

70971358100 is an abundant number, since it is smaller than the sum of its proper divisors (86728527628).

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

70971358100 is a wasteful number, since it uses less digits than its factorization.

70971358100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11625 (or 11618 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 41.

The spelling of 70971358100 in words is "seventy billion, nine hundred seventy-one million, three hundred fifty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 1667 2150 3334 4300 6668 8335 9901 16670 19802 33340 39604 41675 49505 71681 83350 99010 143362 166700 198020 247525 286724 358405 425743 495050 716810 851486 990100 1433620 1702972 1792025 2128715 3584050 4257430 7168100 8514860 10643575 16504967 21287150 33009934 42574300 66019868 82524835 165049670 330099340 412624175 709713581 825248350 1419427162 1650496700 2838854324 3548567905 7097135810 14194271620 17742839525 35485679050 70971358100