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2118145302 = 234713236247
BaseRepresentation
bin111111001000000…
…0101010100010110
312110121122221010000
41332100011110112
513314221122202
6550103112130
7103326636510
oct17620052426
95417587100
102118145302
11997701a09
124b1442646
13279aa2020
14161450bb0
15c5e4d91c
hex7e405516

2118145302 has 160 divisors (see below), whose sum is σ = 6096448512. Its totient is φ = 534257856.

The previous prime is 2118145283. The next prime is 2118145307. The reversal of 2118145302 is 2035418112.

2118145302 is a `hidden beast` number, since 2 + 118 + 14 + 530 + 2 = 666.

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 (2118145307) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 335943 + ... + 342189.

Almost surely, 22118145302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2118145302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048224256).

2118145302 is an abundant number, since it is smaller than the sum of its proper divisors (3978303210).

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

2118145302 is a wasteful number, since it uses less digits than its factorization.

2118145302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2118145302 is about 46023.3125926416. The cubic root of 2118145302 is about 1284.2569251783.

The spelling of 2118145302 in words is "two billion, one hundred eighteen million, one hundred forty-five thousand, three hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 27 39 42 46 54 63 69 78 81 91 117 126 138 161 162 182 189 207 234 273 299 322 351 378 414 483 546 567 598 621 702 819 897 966 1053 1134 1242 1449 1638 1794 1863 2093 2106 2457 2691 2898 3726 4186 4347 4914 5382 6247 6279 7371 8073 8694 12494 12558 13041 14742 16146 18741 18837 24219 26082 37482 37674 43729 48438 56223 56511 81211 87458 112446 113022 131187 143681 162422 168669 169533 243633 262374 287362 337338 339066 393561 431043 487266 506007 568477 730899 787122 862086 1005767 1012014 1136954 1180683 1293129 1461798 1705431 1867853 2011534 2192697 2361366 2586258 3017301 3410862 3542049 3735706 3879387 4385394 5116293 5603559 6034602 6578091 7084098 7758774 9051903 10232586 11207118 11638161 13074971 13156182 15348879 16810677 18103806 23276322 26149942 27155709 30697758 33621354 39224913 46046637 50432031 54311418 78449826 81467127 92093274 100864062 117674739 151296093 162934254 235349478 302592186 353024217 706048434 1059072651 2118145302