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10293011029301 = 7111311311909091
BaseRepresentation
bin1001010111001000011101…
…0001000001110100110101
31100110000001122011210010212
42111302013101001310311
52322120041310414201
633520313300155205
72111434260115040
oct225620721016465
940400048153125
1010293011029301
11330927242a180
1211a2a30698b05
1359881c0433c0
14278281d85c57
1512cb28c65abb
hex95c87441d35

10293011029301 has 32 divisors (see below), whose sum is σ = 13821223858176. Its totient is φ = 7402901688000.

The previous prime is 10293011029297. The next prime is 10293011029303. The reversal of 10293011029301 is 10392011039201.

It is a happy number.

It is not a de Polignac number, because 10293011029301 - 22 = 10293011029297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10293011029303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10867766 + ... + 11776856.

It is an arithmetic number, because the mean of its divisors is an integer number (431913245568).

Almost surely, 210293011029301 is an apocalyptic number.

10293011029301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10293011029301 is a deficient number, since it is larger than the sum of its proper divisors (3528212828875).

10293011029301 is a wasteful number, since it uses less digits than its factorization.

10293011029301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920433.

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 10293011029301 in words is "ten trillion, two hundred ninety-three billion, eleven million, twenty-nine thousand, three hundred one".

Divisors: 1 7 11 13 77 91 143 1001 11311 79177 124421 147043 870947 909091 1029301 1617473 6363637 10000001 11322311 11818183 70000007 82727281 130000013 910000091 10282728301 71979098107 113110011311 133675467913 791770079177 935728275391 1470430147043 10293011029301