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103013332213 = 11219232711193
BaseRepresentation
bin101111111110000010…
…0101011010011110101
3100211220011202110221111
41133330010223103311
53141432403112323
6115153525115021
710304523606421
oct1377404532365
9324804673844
10103013332213
113a762382200
1217b6ab58a71
139938bb145c
144db3337b81
152a2da63c0d
hex17fc12b4f5

103013332213 has 72 divisors (see below), whose sum is σ = 126457208640. Its totient is φ = 83596867200.

The previous prime is 103013332171. The next prime is 103013332223. The reversal of 103013332213 is 312233310301.

It is not a de Polignac number, because 103013332213 - 213 = 103013324021 is a prime.

It is a super-2 number, since 2×1030133322132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013332223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86347545 + ... + 86348737.

It is an arithmetic number, because the mean of its divisors is an integer number (1756350120).

Almost surely, 2103013332213 is an apocalyptic number.

It is an amenable number.

103013332213 is a deficient number, since it is larger than the sum of its proper divisors (23443876427).

103013332213 is a wasteful number, since it uses less digits than its factorization.

103013332213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103013332213 its reverse (312233310301), we get a palindrome (415246642514).

The spelling of 103013332213 in words is "one hundred three billion, thirteen million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 11 19 23 71 121 209 253 437 529 781 1193 1349 1633 2299 2783 4807 5819 8591 10051 13123 14839 17963 22667 27439 31027 37559 52877 64009 84703 110561 144353 163229 197593 249337 301829 341297 413149 521341 631097 713621 931733 1216171 1609357 1948169 2742707 3320119 3754267 4544639 5734751 6942067 7849831 10249063 11990843 17702927 21429859 37015211 44807887 63082261 76362737 86348141 131899273 194732197 235728449 407167321 492886757 851349853 1450892003 4478840531 5421754327 9364848383 103013332213