Search a number
-
+
103002022311331 = 11138236379137201
BaseRepresentation
bin10111011010111000000110…
…111100110111010110100011
3111111200220020000220212100111
4113122320012330313112203
5102000041120202430311
61003022250435232151
730460436063564623
oct2732700674672643
9444626200825314
10103002022311331
112a901a04379330
12b676594a48657
134562083932670
141b61478530883
15bd94bb831d21
hex5dae06f375a3

103002022311331 has 32 divisors (see below), whose sum is σ = 121176279544320. Its totient is φ = 86316076224000.

The previous prime is 103002022311299. The next prime is 103002022311347. The reversal of 103002022311331 is 133113220200301.

It is a cyclic number.

It is not a de Polignac number, because 103002022311331 - 25 = 103002022311299 is a prime.

It is a super-2 number, since 2×1030020223113312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103002022317331) 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, 750669531 + ... + 750806731.

It is an arithmetic number, because the mean of its divisors is an integer number (3786758735760).

Almost surely, 2103002022311331 is an apocalyptic number.

103002022311331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103002022311331 is a deficient number, since it is larger than the sum of its proper divisors (18174257232989).

103002022311331 is a wasteful number, since it uses less digits than its factorization.

103002022311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144427.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103002022311331 its reverse (133113220200301), we get a palindrome (236115242511632).

The spelling of 103002022311331 in words is "one hundred three trillion, two billion, twenty-two million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 11 13 143 823 6379 9053 10699 70169 82927 117689 137201 912197 1509211 1783613 5249917 19619743 57749087 68248921 112916423 750738131 875205179 1242080653 1467913499 9627256969 11377667327 16147048489 125154340597 720293862317 7923232485487 9363820210121 103002022311331