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103021233311113 = 13476611531166613
BaseRepresentation
bin10111011011001010000000…
…000001000000110110001001
3111111202201210212210202202221
4113123022000001000312021
5102000344441211423423
61003035145021454041
730462016125440425
oct2733120001006611
9444681725722687
10103021233311113
112a90a07249a857
12b67a256711321
134563b25a09060
141b6237bb11b85
15bd9c43199e5d
hex5db280040d89

103021233311113 has 32 divisors (see below), whose sum is σ = 113552713999872. Its totient is φ = 92871128275200.

The previous prime is 103021233311107. The next prime is 103021233311137. The reversal of 103021233311113 is 311113332120301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103021233311113 is a prime.

It is a super-2 number, since 2×1030212333111132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103021233315113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 618243195 + ... + 618409807.

It is an arithmetic number, because the mean of its divisors is an integer number (3548522312496).

Almost surely, 2103021233311113 is an apocalyptic number.

103021233311113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103021233311113 is a deficient number, since it is larger than the sum of its proper divisors (10531480688759).

103021233311113 is a wasteful number, since it uses less digits than its factorization.

103021233311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168865.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 103021233311113 its reverse (311113332120301), we get a palindrome (414134565431414).

The spelling of 103021233311113 in words is "one hundred three trillion, twenty-one billion, two hundred thirty-three million, three hundred eleven thousand, one hundred thirteen".

Divisors: 1 13 47 611 661 1531 8593 19903 31067 71957 166613 403871 935441 1011991 2165969 7830811 13155883 47563577 101800543 110131193 255084503 618326501 1431705509 3316098539 5176166071 11988971641 67290158923 155856631333 168610856483 2191941134279 7924710254701 103021233311113