Search a number
-
+
100200123231999 = 37194311097531143
BaseRepresentation
bin10110110010000110101000…
…110000000110111011111111
3111010210001000212111001022020
4112302012220300012323333
5101113134323021410444
6553035145014051223
730051135314431230
oct2662065060067377
9433701025431266
10100200123231999
1129a216a73973aa
12b2a3556649b13
1343baaa5b5115b
141aa59d7411087
15b8b67d987119
hex5b21a8c06eff

100200123231999 has 64 divisors (see below), whose sum is σ = 161242061045760. Its totient is φ = 54068385980160.

The previous prime is 100200123231979. The next prime is 100200123232007. The reversal of 100200123231999 is 999132321002001.

It is not a de Polignac number, because 100200123231999 - 29 = 100200123231487 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100200123231999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200123231979) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188384422 + ... + 188915564.

It is an arithmetic number, because the mean of its divisors is an integer number (2519407203840).

Almost surely, 2100200123231999 is an apocalyptic number.

100200123231999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100200123231999 is a deficient number, since it is larger than the sum of its proper divisors (61041937813761).

100200123231999 is a wasteful number, since it uses less digits than its factorization.

100200123231999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532700.

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 100200123231999 in words is "one hundred trillion, two hundred billion, one hundred twenty-three million, two hundred thirty-one thousand, nine hundred ninety-nine".

Divisors: 1 3 7 19 21 57 133 399 431 1097 1293 3017 3291 7679 8189 9051 20843 23037 24567 57323 62529 145901 171969 437703 472807 531143 1418421 1593429 3309649 3718001 8983333 9928947 10091717 11154003 26949999 30275151 62883331 70642019 188649993 211926057 228922633 582663871 686767899 1602458431 1747991613 4078647097 4349530027 4807375293 11070613549 12235941291 13048590081 30446710189 33211840647 77494294843 91340130567 232482884529 251128128401 753384385203 1757896898807 4771434439619 5273690696421 14314303318857 33400041077333 100200123231999