Search a number
-
+
20312112330 = 23253120633529
BaseRepresentation
bin10010111010101100…
…100011110011001010
31221102120211012212200
4102322230203303022
5313044400043310
613155315021030
71316232051246
oct227254436312
957376735780
1020312112330
1186837266a4
123b2a59a776
131bb92568a3
14da992d426
157dd36d9c0
hex4bab23cca

20312112330 has 96 divisors (see below), whose sum is σ = 54556968960. Its totient is φ = 5237809920.

The previous prime is 20312112313. The next prime is 20312112347. The reversal of 20312112330 is 3321121302.

20312112330 is a `hidden beast` number, since 20 + 312 + 1 + 1 + 2 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (20312112313) and next prime (20312112347).

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5754006 + ... + 5757534.

It is an arithmetic number, because the mean of its divisors is an integer number (568301760).

Almost surely, 220312112330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312112330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27278484480).

20312112330 is an abundant number, since it is smaller than the sum of its proper divisors (34244856630).

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

20312112330 is a wasteful number, since it uses less digits than its factorization.

20312112330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5633 counting only the distinct ones).

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

Adding to 20312112330 its reverse (3321121302), we get a palindrome (23633233632).

The spelling of 20312112330 in words is "twenty billion, three hundred twelve million, one hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2063 2790 3529 4126 6189 7058 10315 10587 12378 17645 18567 20630 21174 30945 31761 35290 37134 52935 61890 63522 63953 92835 105870 109399 127906 158805 185670 191859 218798 317610 319765 328197 383718 546995 575577 639530 656394 959295 984591 1093990 1151154 1640985 1918590 1969182 2877885 3281970 4922955 5755770 7280327 9845910 14560654 21840981 36401635 43681962 65522943 72803270 109204905 131045886 218409810 225690137 327614715 451380274 655229430 677070411 1128450685 1354140822 2031211233 2256901370 3385352055 4062422466 6770704110 10156056165 20312112330