Search a number
-
+
100201033131330 = 23517732691405671
BaseRepresentation
bin10110110010000111011110…
…111111000110010101000010
3111010210010101021121201112110
4112302013132333012111002
5101113143203440200310
6553035415200240150
730051200003440035
oct2662073677062502
9433703337551473
10100201033131330
1129a22023a7021a
12b2a376b310056
1343babbc502621
141aa5a821c701c
15b8b6d37bbd20
hex5b21defc6542

100201033131330 has 64 divisors (see below), whose sum is σ = 258116569567488. Its totient is φ = 24803994654720.

The previous prime is 100201033131229. The next prime is 100201033131371. The reversal of 100201033131330 is 33131330102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201033131297 and 100201033131306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345665606 + ... + 1345740065.

It is an arithmetic number, because the mean of its divisors is an integer number (4033071399492).

Almost surely, 2100201033131330 is an apocalyptic number.

100201033131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201033131330 is an abundant number, since it is smaller than the sum of its proper divisors (157915536436158).

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

100201033131330 is a wasteful number, since it uses less digits than its factorization.

100201033131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691405771.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 100201033131330 its reverse (33131330102001), we get a palindrome (133332363233331).

The spelling of 100201033131330 in words is "one hundred trillion, two hundred one billion, thirty-three million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 73 85 102 146 170 219 255 365 438 510 730 1095 1241 2190 2482 3723 6205 7446 12410 18615 37230 2691405671 5382811342 8074217013 13457028355 16148434026 26914056710 40371085065 45753896407 80742170130 91507792814 137261689221 196472613983 228769482035 274523378442 392945227966 457538964070 589417841949 686308446105 982363069915 1178835683898 1372616892210 1964726139830 2947089209745 3340034437711 5894178419490 6680068875422 10020103313133 16700172188555 20040206626266 33400344377110 50100516565665 100201033131330