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10100010009980 = 2251145909136409
BaseRepresentation
bin1001001011111001011110…
…0000100100010101111100
31022202112220001201011012002
42102332113200210111330
52310434310030304410
633251514110401432
72061462443403362
oct222762740442574
938675801634162
1010100010009980
113244432386830
121171548b00278
13583571a61217
1426cbb3637632
15127aceea87a5
hex92f9782457c

10100010009980 has 24 divisors (see below), whose sum is σ = 23138204750640. Its totient is φ = 3672730912640.

The previous prime is 10100010009979. The next prime is 10100010009983. The reversal of 10100010009980 is 8990001000101.

10100010009980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010009983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22954567985 + ... + 22954568424.

It is an arithmetic number, because the mean of its divisors is an integer number (964091864610).

Almost surely, 210100010009980 is an apocalyptic number.

10100010009980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100010009980 is an abundant number, since it is smaller than the sum of its proper divisors (13038194740660).

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

10100010009980 is a wasteful number, since it uses less digits than its factorization.

10100010009980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45909136429 (or 45909136427 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 29.

The spelling of 10100010009980 in words is "ten trillion, one hundred billion, ten million, nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 45909136409 91818272818 183636545636 229545682045 459091364090 505000500499 918182728180 1010001000998 2020002001996 2525002502495 5050005004990 10100010009980