Search a number
-
+
1131213232100 = 225272729959197
BaseRepresentation
bin10000011101100001100…
…100000001011111100100
311000010212012021020200002
4100131201210001133210
5122013211041411400
62223401105240432
7144504342552140
oct20354144013744
94003765236602
101131213232100
113a6821419286
121632a1033118
1382899618593
143ca72ac8220
151e65ad7aed5
hex107619017e4

1131213232100 has 72 divisors (see below), whose sum is σ = 2805558974400. Its totient is φ = 387823777920.

The previous prime is 1131213232087. The next prime is 1131213232109. The reversal of 1131213232100 is 12323121311.

It is a happy number.

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 (1131213232109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19079702 + ... + 19138898.

Almost surely, 21131213232100 is an apocalyptic number.

1131213232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131213232100 is an abundant number, since it is smaller than the sum of its proper divisors (1674345742300).

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

1131213232100 is a wasteful number, since it uses less digits than its factorization.

1131213232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86517 (or 86510 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1131213232100 its reverse (12323121311), we get a palindrome (1143536353411).

The spelling of 1131213232100 in words is "one trillion, one hundred thirty-one billion, two hundred thirteen million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 27299 54598 59197 109196 118394 136495 191093 236788 272990 295985 382186 414379 545980 591970 682475 764372 828758 955465 1183940 1364950 1479925 1657516 1910930 2071895 2729900 2959850 3821860 4143790 4777325 5919700 8287580 9554650 10359475 19109300 20718950 41437900 1616018903 3232037806 6464075612 8080094515 11312132321 16160189030 22624264642 32320378060 40400472575 45248529284 56560661605 80800945150 113121323210 161601890300 226242646420 282803308025 565606616050 1131213232100