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2631241100 = 225261835197
BaseRepresentation
bin1001110011010101…
…1000110110001100
320210101010220020002
42130311120312030
520342044203400
61113032343432
7122130115565
oct23465306614
96711126202
102631241100
1111302a3424
12615244b78
1332c190ac7
141ad65516c
15106001ed5
hex9cd58d8c

2631241100 has 72 divisors (see below), whose sum is σ = 5874446928. Its totient is φ = 1022572800.

The previous prime is 2631241099. The next prime is 2631241141. The reversal of 2631241100 is 11421362.

2631241100 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 (20).

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, 503702 + ... + 508898.

Almost surely, 22631241100 is an apocalyptic number.

2631241100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937223464).

2631241100 is an abundant number, since it is smaller than the sum of its proper divisors (3243205828).

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

2631241100 is a wasteful number, since it uses less digits than its factorization.

2631241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2631241100 is about 51295.6245697428. The cubic root of 2631241100 is about 1380.5544750783.

Adding to 2631241100 its reverse (11421362), we get a palindrome (2642662462).

The spelling of 2631241100 in words is "two billion, six hundred thirty-one million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 83 100 122 166 244 305 332 415 610 830 1220 1525 1660 2075 3050 4150 5063 5197 6100 8300 10126 10394 20252 20788 25315 25985 50630 51970 101260 103940 126575 129925 253150 259850 317017 431351 506300 519700 634034 862702 1268068 1585085 1725404 2156755 3170170 4313510 6340340 7925425 8627020 10783775 15850850 21567550 26312411 31701700 43135100 52624822 105249644 131562055 263124110 526248220 657810275 1315620550 2631241100