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11402242100 = 2252114022421
BaseRepresentation
bin10101001111010000…
…00110100000110100
31002102122022220122222
422213220012200310
5141322433221400
65123233341512
7552362313224
oct124750064064
932378286588
1011402242100
1149212a5287
122262707898
1310c9372622
147a249a084
1546b047185
hex2a7a06834

11402242100 has 18 divisors (see below), whose sum is σ = 24742865574. Its totient is φ = 4560896800.

The previous prime is 11402242067. The next prime is 11402242109. The reversal of 11402242100 is 124220411.

It can be written as a sum of positive squares in 3 ways, for example, as 2319770896 + 9082471204 = 48164^2 + 95302^2 .

It is a super-2 number, since 2×114022421002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11402242109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57011111 + ... + 57011310.

It is an arithmetic number, because the mean of its divisors is an integer number (1374603643).

Almost surely, 211402242100 is an apocalyptic number.

11402242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11402242100 is an abundant number, since it is smaller than the sum of its proper divisors (13340623474).

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

11402242100 is a wasteful number, since it uses less digits than its factorization.

11402242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114022435 (or 114022428 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11402242100 its reverse (124220411), we get a palindrome (11526462511).

The spelling of 11402242100 in words is "eleven billion, four hundred two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 114022421 228044842 456089684 570112105 1140224210 2280448420 2850560525 5701121050 11402242100