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40220010100 = 22522937374837
BaseRepresentation
bin100101011101010011…
…001010011001110100
310211211000001012121201
4211131103022121310
51124332310310400
630250554222244
72622455305444
oct453523123164
9124730035551
1040220010100
111606a168976
127965724984
133a3c82475a
141d378bc124
1510a5e9506a
hex95d4ca674

40220010100 has 72 divisors (see below), whose sum is σ = 92727424440. Its totient is φ = 15113387520.

The previous prime is 40220010067. The next prime is 40220010113. The reversal of 40220010100 is 101002204.

40220010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 3076699024 + 37143311076 = 55468^2 + 192726^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 80119 + ... + 294718.

It is an arithmetic number, because the mean of its divisors is an integer number (1287880895).

Almost surely, 240220010100 is an apocalyptic number.

It is an amenable number.

40220010100 is an abundant number, since it is smaller than the sum of its proper divisors (52507414340).

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

40220010100 is a wasteful number, since it uses less digits than its factorization.

40220010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374917 (or 374910 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 40220010100 its reverse (101002204), we get a palindrome (40321012304).

The spelling of 40220010100 in words is "forty billion, two hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 58 74 100 116 145 148 185 290 370 580 725 740 925 1073 1450 1850 2146 2900 3700 4292 5365 10730 21460 26825 53650 107300 374837 749674 1499348 1874185 3748370 7496740 9370925 10870273 13868969 18741850 21740546 27737938 37483700 43481092 54351365 55475876 69344845 108702730 138689690 217405460 271756825 277379380 346724225 402200101 543513650 693448450 804400202 1087027300 1386896900 1608800404 2011000505 4022001010 8044002020 10055002525 20110005050 40220010100