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3122001144 = 23346771909
BaseRepresentation
bin1011101000010101…
…1111010011111000
322001120121002110000
42322011133103320
522343213014034
61233443153000
7140236400103
oct27205372370
98046532400
103122001144
111362319739
12731675760
133a9a5c272
142188c373a
15134142599
hexba15f4f8

3122001144 has 80 divisors (see below), whose sum is σ = 8875132200. Its totient is φ = 1025120448.

The previous prime is 3122001121. The next prime is 3122001161. The reversal of 3122001144 is 4411002213.

It is a super-2 number, since 2×31220011442 = 19493782286274617472, which contains 22 as substring.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7462 + ... + 79370.

Almost surely, 23122001144 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 3122001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437566100).

3122001144 is an abundant number, since it is smaller than the sum of its proper divisors (5753131056).

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

3122001144 is a wasteful number, since it uses less digits than its factorization.

3122001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71994 (or 71981 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3122001144 is about 55874.8704159571. The cubic root of 3122001144 is about 1461.5410549970.

Adding to 3122001144 its reverse (4411002213), we get a palindrome (7533003357).

The spelling of 3122001144 in words is "three billion, one hundred twenty-two million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1608 1809 2412 3618 4824 5427 7236 10854 14472 21708 43416 71909 143818 215727 287636 431454 575272 647181 862908 1294362 1725816 1941543 2588724 3883086 4817903 5177448 5824629 7766172 9635806 11649258 14453709 15532344 19271612 23298516 28907418 38543224 43361127 46597032 57814836 86722254 115629672 130083381 173444508 260166762 346889016 390250143 520333524 780500286 1040667048 1561000572 3122001144