Search a number
-
+
10310071123144 = 2313297317333433
BaseRepresentation
bin1001011000001000000000…
…1000000111110011001000
31100111122002120202100022101
42112002000020013303020
52322410011201420034
633532214205203144
72112610113404002
oct226020010076310
940448076670271
1010310071123144
113315527403191
1211a61b1b604b4
1359a30a6173a0
1427901da29372
1512d2c685d514
hex96080207cc8

10310071123144 has 32 divisors (see below), whose sum is σ = 20818545302520. Its totient is φ = 4758464088576.

The previous prime is 10310071123139. The next prime is 10310071123159. The reversal of 10310071123144 is 44132117001301.

It can be written as a sum of positive squares in 4 ways, for example, as 3561184152100 + 6748886971044 = 1887110^2 + 2597862^2 .

It is a super-2 number, since 2×103100711231442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30754252 + ... + 31087684.

Almost surely, 210310071123144 is an apocalyptic number.

It is an amenable number.

10310071123144 is an abundant number, since it is smaller than the sum of its proper divisors (10508474179376).

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

10310071123144 is a wasteful number, since it uses less digits than its factorization.

10310071123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630769 (or 630765 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 10310071123144 its reverse (44132117001301), we get a palindrome (54442188124445).

The spelling of 10310071123144 in words is "ten trillion, three hundred ten billion, seventy-one million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 297317 333433 594634 666866 1189268 1333732 2378536 2667464 3865121 4334629 7730242 8669258 15460484 17338516 30920968 34677032 99135299261 198270598522 396541197044 793082394088 1288758890393 2577517780786 5155035561572 10310071123144