Search a number
-
+
10233233331320 = 235715387668879
BaseRepresentation
bin1001010011101001110000…
…1111001101010001111000
31100020021202121220002102202
42110322130033031101320
52320130130213100240
633433025452445332
72104220030062136
oct224723417152170
940207677802382
1010233233331320
11329598748799a
121193329179848
13592cb367b68c
14275410c3c756
1512b2cacc5315
hex94e9c3cd478

10233233331320 has 64 divisors (see below), whose sum is σ = 23353436851200. Its totient is φ = 4034886136960.

The previous prime is 10233233331313. The next prime is 10233233331359. The reversal of 10233233331320 is 2313333233201.

10233233331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14964641 + ... + 15633519.

It is an arithmetic number, because the mean of its divisors is an integer number (364897450800).

Almost surely, 210233233331320 is an apocalyptic number.

10233233331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233233331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676718425600).

10233233331320 is an abundant number, since it is smaller than the sum of its proper divisors (13120203519880).

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

10233233331320 is a wasteful number, since it uses less digits than its factorization.

10233233331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674348 (or 674344 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 10233233331320 its reverse (2313333233201), we get a palindrome (12546566564521).

The spelling of 10233233331320 in words is "ten trillion, two hundred thirty-three billion, two hundred thirty-three million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 5387 10774 21548 26935 43096 53870 107740 215480 382477 668879 764954 1337758 1529908 1912385 2675516 3059816 3344395 3824770 5351032 6688790 7649540 13377580 15299080 26755160 47490409 94980818 189961636 237452045 379923272 474904090 949808180 1899616360 3603251173 7206502346 14413004692 18016255865 28826009384 36032511730 72065023460 144130046920 255830833283 511661666566 1023323333132 1279154166415 2046646666264 2558308332830 5116616665660 10233233331320