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11402431102100 = 2252172394547789
BaseRepresentation
bin1010010111101101010111…
…0110101111110010010100
31111101001200000202211102202
42211323111312233302110
52443304134330231400
640130112102424032
72254540605126503
oct245732566576224
944331600684382
1011402431102100
1136a68201072a5
121341a4b132018
1364932461a83c
142b5c4857283a
1514b90b71e4d5
hexa5ed5dafc94

11402431102100 has 54 divisors (see below), whose sum is σ = 26284379222010. Its totient is φ = 4292679933440.

The previous prime is 11402431102081. The next prime is 11402431102133. The reversal of 11402431102100 is 120113420411.

It can be written as a sum of positive squares in 9 ways, for example, as 373841753476 + 11028589348624 = 611426^2 + 3320932^2 .

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 17 ways as a sum of consecutive naturals, for example, 197244995 + ... + 197302794.

Almost surely, 211402431102100 is an apocalyptic number.

11402431102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11402431102100 is an abundant number, since it is smaller than the sum of its proper divisors (14881948119910).

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

11402431102100 is a wasteful number, since it uses less digits than its factorization.

11402431102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394547837 (or 394547813 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11402431102100 its reverse (120113420411), we get a palindrome (11522544522511).

The spelling of 11402431102100 in words is "eleven trillion, four hundred two billion, four hundred thirty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 14450 28900 394547789 789095578 1578191156 1972738945 3945477890 6707312413 7890955780 9863694725 13414624826 19727389450 26829249652 33536562065 39454778900 67073124130 114024311021 134146248260 167682810325 228048622042 335365620650 456097244084 570121555105 670731241300 1140243110210 2280486220420 2850607775525 5701215551050 11402431102100