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103001131311 = 31323459724979
BaseRepresentation
bin101111111101101011…
…0001000100100101111
3100211212022210121110020
41133323112020210233
53141421242200221
6115152411413223
710304315112321
oct1377326104457
9324768717406
10103001131311
113a7564a9511
1217b66a54213
1399364cbba0
144db187d611
152a2c953ac6
hex17fb58892f

103001131311 has 32 divisors (see below), whose sum is σ = 154369205760. Its totient is φ = 60613812864.

The previous prime is 103001131229. The next prime is 103001131313. The reversal of 103001131311 is 113131100301.

It is not a de Polignac number, because 103001131311 - 219 = 103000607023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001131313) 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, 4111020 + ... + 4135998.

It is an arithmetic number, because the mean of its divisors is an integer number (4824037680).

Almost surely, 2103001131311 is an apocalyptic number.

103001131311 is a deficient number, since it is larger than the sum of its proper divisors (51368074449).

103001131311 is a wasteful number, since it uses less digits than its factorization.

103001131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29615.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 103001131311 its reverse (113131100301), we get a palindrome (216132231612).

The spelling of 103001131311 in words is "one hundred three billion, one million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 13 23 39 69 299 897 4597 13791 24979 59761 74937 105731 179283 317193 324727 574517 974181 1374503 1723551 4123509 7468721 22406163 114828463 344485389 1492770019 2641054649 4478310057 7923163947 34333710437 103001131311