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40311132100 = 225231109119299
BaseRepresentation
bin100101100010101110…
…110000111111000100
310212001100111200111121
4211202232300333010
51130024122211400
630304011243324
72624642653321
oct454256607704
9125040450447
1040311132100
1116106646208
127990149544
133a5567a2b5
141d45a3bb48
1510ade9421a
hex962bb0fc4

40311132100 has 72 divisors (see below), whose sum is σ = 91126112000. Its totient is φ = 15461020800.

The previous prime is 40311132079. The next prime is 40311132101. The reversal of 40311132100 is 123111304.

40311132100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40311132101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278251 + ... + 397549.

Almost surely, 240311132100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40311132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45563056000).

40311132100 is an abundant number, since it is smaller than the sum of its proper divisors (50814979900).

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

40311132100 is a wasteful number, since it uses less digits than its factorization.

40311132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119453 (or 119446 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 40311132100 its reverse (123111304), we get a palindrome (40434243404).

The spelling of 40311132100 in words is "forty billion, three hundred eleven million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 109 124 155 218 310 436 545 620 775 1090 1550 2180 2725 3100 3379 5450 6758 10900 13516 16895 33790 67580 84475 119299 168950 238598 337900 477196 596495 1192990 2385980 2982475 3698269 5964950 7396538 11929900 13003591 14793076 18491345 26007182 36982690 52014364 65017955 73965380 92456725 130035910 184913450 260071820 325089775 369826900 403111321 650179550 806222642 1300359100 1612445284 2015556605 4031113210 8062226420 10077783025 20155566050 40311132100