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230210031312 = 2435523113213
BaseRepresentation
bin1101011001100110010…
…1100100111011010000
3211000012201210021200000
43112121211210323100
512232432232000222
6253431303530000
722426550660022
oct3263145447320
9730181707600
10230210031312
11896a4619928
1238748a59900
131892a071451
14b1dc3a0012
155ec57399ac
hex3599964ed0

230210031312 has 120 divisors (see below), whose sum is σ = 669413550624. Its totient is φ = 76589276544.

The previous prime is 230210031301. The next prime is 230210031371. The reversal of 230210031312 is 213130012032.

230210031312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1976818 + ... + 2090030.

Almost surely, 2230210031312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230210031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334706775312).

230210031312 is an abundant number, since it is smaller than the sum of its proper divisors (439203519312).

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

230210031312 is a wasteful number, since it uses less digits than its factorization.

230210031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113759 (or 113741 counting only the distinct ones).

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

Adding to 230210031312 its reverse (213130012032), we get a palindrome (443340043344).

The spelling of 230210031312 in words is "two hundred thirty billion, two hundred ten million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 523 648 972 1046 1296 1569 1944 2092 3138 3888 4184 4707 6276 8368 9414 12552 14121 18828 25104 28242 37656 42363 56484 75312 84726 112968 113213 127089 169452 225936 226426 254178 338904 339639 452852 508356 677808 679278 905704 1016712 1018917 1358556 1811408 2033424 2037834 2717112 3056751 4075668 5434224 6113502 8151336 9170253 12227004 16302672 18340506 24454008 27510759 36681012 48908016 55021518 59210399 73362024 110043036 118420798 146724048 177631197 220086072 236841596 355262394 440172144 473683192 532893591 710524788 947366384 1065787182 1421049576 1598680773 2131574364 2842099152 3197361546 4263148728 4796042319 6394723092 8526297456 9592084638 12789446184 14388126957 19184169276 25578892368 28776253914 38368338552 57552507828 76736677104 115105015656 230210031312