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3011400442100 = 2252115337017057
BaseRepresentation
bin101011110100100101011…
…101000010000011110100
3101122212221200012201222102
4223310211131002003310
5343314322003121400
610223230202321232
7430365211262441
oct53644535020364
911585850181872
103011400442100
11a61145051656
12407767ab9218
1318ac876c212b
14a5a770449c8
15535005329d5
hex2bd257420f4

3011400442100 has 72 divisors (see below), whose sum is σ = 6543100803288. Its totient is φ = 1203019776000.

The previous prime is 3011400442049. The next prime is 3011400442139. The reversal of 3011400442100 is 12440041103.

It can be written as a sum of positive squares in 12 ways, for example, as 6884352784 + 3004516089316 = 82972^2 + 1733354^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426721772 + ... + 426728828.

Almost surely, 23011400442100 is an apocalyptic number.

It is an amenable number.

3011400442100 is an abundant number, since it is smaller than the sum of its proper divisors (3531700361188).

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

3011400442100 is a wasteful number, since it uses less digits than its factorization.

3011400442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11925 (or 11918 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 3011400442100 its reverse (12440041103), we get a palindrome (3023840483203).

The spelling of 3011400442100 in words is "three trillion, eleven billion, four hundred million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1153 2306 3701 4612 5765 7057 7402 11530 14114 14804 18505 23060 28228 28825 35285 37010 57650 70570 74020 92525 115300 141140 176425 185050 352850 370100 705700 4267253 8136721 8534506 16273442 17069012 21336265 26117957 32546884 40683605 42672530 52235914 81367210 85345060 104471828 106681325 130589785 162734420 203418025 213362650 261179570 406836050 426725300 522359140 652948925 813672100 1305897850 2611795700 30114004421 60228008842 120456017684 150570022105 301140044210 602280088420 752850110525 1505700221050 3011400442100