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10155061700 = 2252719375167
BaseRepresentation
bin10010111010100100…
…11111000111000100
3222012201112120210022
421131102133013010
5131244143433300
64355402114312
7506436412610
oct113522370704
928181476708
1010155061700
1143412a4183
121b74aab998
13c5ab6c264
146c49a8340
153e67dc285
hex25d49f1c4

10155061700 has 72 divisors (see below), whose sum is σ = 25315379712. Its totient is φ = 3463649280.

The previous prime is 10155061687. The next prime is 10155061711. The reversal of 10155061700 is 716055101.

10155061700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10155061700.

It is an unprimeable number.

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, 97517 + ... + 172683.

It is an arithmetic number, because the mean of its divisors is an integer number (351602496).

Almost surely, 210155061700 is an apocalyptic number.

10155061700 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 10155061700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657689856).

10155061700 is an abundant number, since it is smaller than the sum of its proper divisors (15160318012).

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

10155061700 is a wasteful number, since it uses less digits than its factorization.

10155061700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75381 (or 75374 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The spelling of 10155061700 in words is "ten billion, one hundred fifty-five million, sixty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 193 350 386 700 772 965 1351 1930 2702 3860 4825 5404 6755 9650 13510 19300 27020 33775 67550 75167 135100 150334 300668 375835 526169 751670 1052338 1503340 1879175 2104676 2630845 3758350 5261690 7516700 10523380 13154225 14507231 26308450 29014462 52616900 58028924 72536155 101550617 145072310 203101234 290144620 362680775 406202468 507753085 725361550 1015506170 1450723100 2031012340 2538765425 5077530850 10155061700