Search a number
-
+
10101935790 = 2335109343253
BaseRepresentation
bin10010110100001111…
…10100111010101110
3222002000120111202000
421122013310322232
5131142043421130
64350223313130
7505223015562
oct113207647256
928060514660
1010101935790
114314308971
121b5b14b7a6
13c4cb5b0cb
146bb8d96a2
153e1ce6260
hex25a1f4eae

10101935790 has 64 divisors (see below), whose sum is σ = 27185716800. Its totient is φ = 2669127552.

The previous prime is 10101935771. The next prime is 10101935791. The reversal of 10101935790 is 9753910101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101935791) 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 31 ways as a sum of consecutive naturals, for example, 142197 + ... + 201056.

It is an arithmetic number, because the mean of its divisors is an integer number (424776825).

Almost surely, 210101935790 is an apocalyptic number.

10101935790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101935790 is an abundant number, since it is smaller than the sum of its proper divisors (17083781010).

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

10101935790 is a wasteful number, since it uses less digits than its factorization.

10101935790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343378 (or 343372 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The spelling of 10101935790 in words is "ten billion, one hundred one million, nine hundred thirty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 981 1090 1635 1962 2943 3270 4905 5886 9810 14715 29430 343253 686506 1029759 1716265 2059518 3089277 3432530 5148795 6178554 9267831 10297590 15446385 18535662 30892770 37414577 46339155 74829154 92678310 112243731 187072885 224487462 336731193 374145770 561218655 673462386 1010193579 1122437310 1683655965 2020387158 3367311930 5050967895 10101935790