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30120213123 = 3472111353069
BaseRepresentation
bin11100000011010011…
…011111101010000011
32212202010111100210000
4130003103133222003
5443141233304443
621500444411043
72114256405300
oct340323375203
985663440700
1030120213123
1111857090a20
125a07246a83
132ac0265020
14165a3bc0a7
15bb44728d3
hex7034dfa83

30120213123 has 120 divisors (see below), whose sum is σ = 61491996720. Its totient is φ = 14442986880.

The previous prime is 30120213103. The next prime is 30120213127. The reversal of 30120213123 is 32131202103.

It is not a de Polignac number, because 30120213123 - 29 = 30120212611 is a prime.

It is a super-3 number, since 3×301202131233 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30120213096 and 30120213105.

It is not an unprimeable number, because it can be changed into a prime (30120213127) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 541033 + ... + 594101.

It is an arithmetic number, because the mean of its divisors is an integer number (512433306).

Almost surely, 230120213123 is an apocalyptic number.

30120213123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30120213123 is an abundant number, since it is smaller than the sum of its proper divisors (31371783597).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30120213123 is a wasteful number, since it uses less digits than its factorization.

30120213123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53119 (or 53103 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30120213123 its reverse (32131202103), we get a palindrome (62251415226).

The spelling of 30120213123 in words is "thirty billion, one hundred twenty million, two hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 77 81 91 99 117 143 147 189 231 273 297 351 429 441 539 567 637 693 819 891 1001 1053 1287 1323 1617 1911 2079 2457 3003 3861 3969 4851 5733 6237 7007 7371 9009 11583 14553 17199 21021 27027 43659 51597 53069 63063 81081 159207 189189 371483 477621 567567 583759 689897 1114449 1432863 1751277 2069691 2600381 3343347 4086313 4298589 4829279 5253831 6209073 7588867 7801143 10030041 12258939 14487837 15761493 18627219 22766601 23403429 28604191 30090123 33804953 36776817 43463511 47284479 53122069 55881657 68299803 70210287 85812573 101414859 110330451 130390533 159366207 204899409 210630861 257437719 304244577 330991353 371854483 391171599 478098621 614698227 772313157 912733731 1115563449 1434295863 2316939471 2738201193 3346690347 4302887589 10040071041 30120213123