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10002070700 = 22521711352067
BaseRepresentation
bin10010101000010101…
…10111110010101100
3221211001122211120222
421110022313302230
5130441012230300
64332255030512
7502601124656
oct112412676254
927731584528
1010002070700
1142729a9836
121b3180b438
13c35263b3b
146ac5416d6
153d816b785
hex2542b7cac

10002070700 has 72 divisors (see below), whose sum is σ = 23185047312. Its totient is φ = 3732090880.

The previous prime is 10002070693. The next prime is 10002070709. The reversal of 10002070700 is 707020001.

It is a happy number.

10002070700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10002070709) 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, 166067 + ... + 218133.

It is an arithmetic number, because the mean of its divisors is an integer number (322014546).

Almost surely, 210002070700 is an apocalyptic number.

10002070700 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 10002070700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592523656).

10002070700 is an abundant number, since it is smaller than the sum of its proper divisors (13182976612).

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

10002070700 is a wasteful number, since it uses less digits than its factorization.

10002070700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52211 (or 52204 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

Adding to 10002070700 its reverse (707020001), we get a palindrome (10709090701).

The spelling of 10002070700 in words is "ten billion, two million, seventy thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 113 170 226 340 425 452 565 850 1130 1700 1921 2260 2825 3842 5650 7684 9605 11300 19210 38420 48025 52067 96050 104134 192100 208268 260335 520670 885139 1041340 1301675 1770278 2603350 3540556 4425695 5206700 5883571 8851390 11767142 17702780 22128475 23534284 29417855 44256950 58835710 88513900 100020707 117671420 147089275 200041414 294178550 400082828 500103535 588357100 1000207070 2000414140 2500517675 5001035350 10002070700