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101113214240 = 2552921791641
BaseRepresentation
bin101111000101011010…
…0010011010100100000
3100122222202100111002202
41132022310103110200
53124034440323430
6114241211032332
710206452066033
oct1361264232440
9318882314082
10101113214240
1139977856475
121771a73b6a8
1396c5338cac
144c72c3d01a
15296bd30d45
hex178ad13520

101113214240 has 48 divisors (see below), whose sum is σ = 247117220280. Its totient is φ = 39050618880.

The previous prime is 101113214239. The next prime is 101113214243. The reversal of 101113214240 is 42412311101.

It can be written as a sum of positive squares in 4 ways, for example, as 47543185936 + 53570028304 = 218044^2 + 231452^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101113214243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10891181 + ... + 10900460.

Almost surely, 2101113214240 is an apocalyptic number.

101113214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101113214240 is an abundant number, since it is smaller than the sum of its proper divisors (146004006040).

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

101113214240 is a wasteful number, since it uses less digits than its factorization.

101113214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21791685 (or 21791677 counting only the distinct ones).

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

Adding to 101113214240 its reverse (42412311101), we get a palindrome (143525525341).

The spelling of 101113214240 in words is "one hundred one billion, one hundred thirteen million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 21791641 43583282 87166564 108958205 174333128 217916410 348666256 435832820 631957589 697332512 871665640 1263915178 1743331280 2527830356 3159787945 3486662560 5055660712 6319575890 10111321424 12639151780 20222642848 25278303560 50556607120 101113214240