Search a number
-
+
1010231301312 = 263210117365087
BaseRepresentation
bin11101011001101100111…
…10100101010011000000
310120120120202102101100200
432230312132211103000
5113022423203120222
62052032134445200
7132662321243562
oct16546636452300
93516522371320
101010231301312
1135a489262012
12143958503800
1374358b7c69c
1436c771b9332
151b429ab2eac
hexeb367a54c0

1010231301312 has 84 divisors (see below), whose sum is σ = 2924315549376. Its totient is φ = 333409651200.

The previous prime is 1010231301307. The next prime is 1010231301319. The reversal of 1010231301312 is 2131031320101.

1010231301312 is a `hidden beast` number, since 10 + 10 + 2 + 31 + 301 + 312 = 666.

1010231301312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1010231301319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8624368 + ... + 8740719.

Almost surely, 21010231301312 is an apocalyptic number.

1010231301312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010231301312 is an abundant number, since it is smaller than the sum of its proper divisors (1914084248064).

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

1010231301312 is a wasteful number, since it uses less digits than its factorization.

1010231301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17365206 (or 17365193 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1010231301312 its reverse (2131031320101), we get a palindrome (3141262621413).

The spelling of 1010231301312 in words is "one trillion, ten billion, two hundred thirty-one million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 144 192 202 288 303 404 576 606 808 909 1212 1616 1818 2424 3232 3636 4848 6464 7272 9696 14544 19392 29088 58176 17365087 34730174 52095261 69460348 104190522 138920696 156285783 208381044 277841392 312571566 416762088 555682784 625143132 833524176 1111365568 1250286264 1667048352 1753873787 2500572528 3334096704 3507747574 5001145056 5261621361 7015495148 10002290112 10523242722 14030990296 15784864083 21046485444 28061980592 31569728166 42092970888 56123961184 63139456332 84185941776 112247922368 126278912664 168371883552 252557825328 336743767104 505115650656 1010231301312