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103030090911 = 3411177195803
BaseRepresentation
bin101111111110100010…
…0100110110010011111
3100211221100021220120000
41133331010212302133
53142001200402121
6115155324225343
710305116215536
oct1377504466237
9324840256500
10103030090911
113a770889270
1217b7469b253
13993c4cb447
144db565b31d
152a30274526
hex17fd126c9f

103030090911 has 80 divisors (see below), whose sum is σ = 180283200768. Its totient is φ = 57941049600.

The previous prime is 103030090907. The next prime is 103030090937. The reversal of 103030090911 is 119090030301.

It is not a de Polignac number, because 103030090911 - 22 = 103030090907 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103030090211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1027536 + ... + 1123338.

Almost surely, 2103030090911 is an apocalyptic number.

103030090911 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103030090911 is a deficient number, since it is larger than the sum of its proper divisors (77253109857).

103030090911 is a wasteful number, since it uses less digits than its factorization.

103030090911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95914 (or 95905 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

It can be divided in two parts, 1030300 and 90911, that added together give a palindrome (1121211).

The spelling of 103030090911 in words is "one hundred three billion, thirty million, ninety thousand, nine hundred eleven".

Divisors: 1 3 9 11 17 27 33 51 71 81 99 153 187 213 297 459 561 639 781 891 1207 1377 1683 1917 2343 3621 5049 5751 7029 10863 13277 15147 21087 32589 39831 63261 95803 97767 119493 287409 358479 862227 1053833 1075437 1628651 2586681 3161499 4885953 6802013 7760043 9484497 14657859 17915161 20406039 28453491 43973577 53745483 61218117 74822143 85360473 115634221 131920731 161236449 183654351 224466429 346902663 483709347 550963053 673399287 1040707989 1271976431 1451128041 2020197861 3122123967 3815929293 6060593583 9366371901 11447787879 34343363637 103030090911