Search a number
-
+
102041323140201 = 31710156893482159
BaseRepresentation
bin10111001100111001011000…
…110100010111010001101001
3111101022001111020221101212220
4113030321120310113101221
5101333321112210441301
61001005045310024253
730331146053426604
oct2714713064272151
9441261436841786
10102041323140201
112a5715337788a5
12b5403607a8089
1344c25bc90a363
141b2ab7d89533b
15bbe4e04e5936
hex5cce58d17469

102041323140201 has 32 divisors (see below), whose sum is σ = 145510273497600. Its totient is φ = 63380847052800.

The previous prime is 102041323140187. The next prime is 102041323140217.

102041323140201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102041323140201 - 210 = 102041323139177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102041323140221) 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, 27562960 + ... + 31045118.

It is an arithmetic number, because the mean of its divisors is an integer number (4547196046800).

Almost surely, 2102041323140201 is an apocalyptic number.

It is an amenable number.

102041323140201 is a deficient number, since it is larger than the sum of its proper divisors (43468950357399).

102041323140201 is a wasteful number, since it uses less digits than its factorization.

102041323140201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487969.

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 102041323140201 in words is "one hundred two trillion, forty-one billion, three hundred twenty-three million, one hundred forty thousand, two hundred one".

Divisors: 1 3 17 51 101 303 1717 5151 5689 17067 96713 290139 574589 1723767 3482159 9768013 10446477 29304039 59196703 177590109 351698059 1055094177 5978867003 17936601009 19810002551 59430007653 336770043367 1010310130101 2000810257651 6002430772953 34013774380067 102041323140201