Search a number
-
+
102131202303221 = 71310965211578979
BaseRepresentation
bin10111001110001101000110…
…000010001010010011110101
3111101121122111002102221211112
4113032031012002022103311
5101341304200242200341
61001114232052244405
730340510254625010
oct2716150602122365
9441548432387745
10102131202303221
112a5a6666166313
12b555865010705
1344cac146a1760
141b312686da377
15bc1a00e53aeb
hex5ce34608a4f5

102131202303221 has 32 divisors (see below), whose sum is σ = 126872685139200. Its totient is φ = 80053426690560.

The previous prime is 102131202303191. The next prime is 102131202303241. The reversal of 102131202303221 is 122303202131201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102131202303221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131202303241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63892310 + ... + 65471288.

It is an arithmetic number, because the mean of its divisors is an integer number (3964771410600).

Almost surely, 2102131202303221 is an apocalyptic number.

It is an amenable number.

102131202303221 is a deficient number, since it is larger than the sum of its proper divisors (24741482835979).

102131202303221 is a wasteful number, since it uses less digits than its factorization.

102131202303221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585629.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 102131202303221 its reverse (122303202131201), we get a palindrome (224434404434422).

The spelling of 102131202303221 in words is "one hundred two trillion, one hundred thirty-one billion, two hundred two million, three hundred three thousand, two hundred twenty-one".

Divisors: 1 7 13 91 109 763 1417 6521 9919 45647 84773 593411 710789 1578979 4975523 9240257 11052853 20526727 64681799 143687089 172108711 1204760977 2237413243 10296522059 15661892701 72075654413 133854786767 936983507369 1122320904431 7856246331017 14590171757603 102131202303221