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3123133120 = 265531071721
BaseRepresentation
bin1011101000100111…
…0011101011000000
322001122201121020001
42322021303223000
522344010224440
61233523325344
7140252123242
oct27211635300
98048647201
103123133120
111362a22158
12731b20854
133aa067583
14218ada092
151342b7b9a
hexba273ac0

3123133120 has 112 divisors (see below), whose sum is σ = 7652540448. Its totient is φ = 1213521920.

The previous prime is 3123133061. The next prime is 3123133147. The reversal of 3123133120 is 213313213.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813860 + ... + 1815580.

It is an arithmetic number, because the mean of its divisors is an integer number (68326254).

Almost surely, 23123133120 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 3123133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826270224).

3123133120 is an abundant number, since it is smaller than the sum of its proper divisors (4529407328).

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

3123133120 is a wasteful number, since it uses less digits than its factorization.

3123133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 3123133120 is about 55884.9990605708. Note that the first 3 decimals coincide. The cubic root of 3123133120 is about 1461.7176756330.

Adding to 3123133120 its reverse (213313213), we get a palindrome (3336446333).

The spelling of 3123133120 in words is "three billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 107 160 212 214 265 320 424 428 530 535 848 856 1060 1070 1696 1712 1721 2120 2140 3392 3424 3442 4240 4280 5671 6848 6884 8480 8560 8605 11342 13768 16960 17120 17210 22684 27536 28355 34240 34420 45368 55072 56710 68840 90736 91213 110144 113420 137680 181472 182426 184147 226840 275360 362944 364852 368294 453680 456065 550720 729704 736588 907360 912130 920735 1459408 1473176 1814720 1824260 1841470 2918816 2946352 3648520 3682940 5837632 5892704 7297040 7365880 9759791 11785408 14594080 14731760 19519582 29188160 29463520 39039164 48798955 58927040 78078328 97597910 156156656 195195820 312313312 390391640 624626624 780783280 1561566560 3123133120