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2010231312 = 2431937411453
BaseRepresentation
bin111011111010001…
…1011001000010000
312012002121022221120
41313310123020100
513104104400222
6531250122240
7100546453455
oct16764331020
95162538846
102010231312
119417a55a1
12481280380
1326061a2ab
14150d9d82c
15bb73415c
hex77d1b210

2010231312 has 160 divisors (see below), whose sum is σ = 5755048320. Its totient is φ = 602173440.

The previous prime is 2010231299. The next prime is 2010231359. The reversal of 2010231312 is 2131320102.

It is a junction number, because it is equal to n+sod(n) for n = 2010231291 and 2010231300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1382778 + ... + 1384230.

It is an arithmetic number, because the mean of its divisors is an integer number (35969052).

Almost surely, 22010231312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877524160).

2010231312 is an abundant number, since it is smaller than the sum of its proper divisors (3744817008).

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

2010231312 is a wasteful number, since it uses less digits than its factorization.

2010231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2010231312 is about 44835.6031742632. The cubic root of 2010231312 is about 1262.0658376027.

Adding to 2010231312 its reverse (2131320102), we get a palindrome (4141551414).

The spelling of 2010231312 in words is "two billion, ten million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 41 48 57 74 76 82 111 114 123 148 152 164 222 228 246 296 304 328 444 456 492 592 656 703 779 888 912 984 1406 1453 1517 1558 1776 1968 2109 2337 2812 2906 3034 3116 4218 4359 4551 4674 5624 5812 6068 6232 8436 8718 9102 9348 11248 11624 12136 12464 16872 17436 18204 18696 23248 24272 27607 28823 33744 34872 36408 37392 53761 55214 57646 59573 69744 72816 82821 86469 107522 110428 115292 119146 161283 165642 172938 178719 215044 220856 230584 238292 322566 331284 345876 357438 430088 441712 461168 476584 645132 662568 691752 714876 860176 953168 1021459 1131887 1290264 1325136 1383504 1429752 2042918 2204201 2263774 2580528 2859504 3064377 3395661 4085836 4408402 4527548 6128754 6612603 6791322 8171672 8816804 9055096 12257508 13225206 13582644 16343344 17633608 18110192 24515016 26450412 27165288 35267216 41879819 49030032 52900824 54330576 83759638 105801648 125639457 167519276 251278914 335038552 502557828 670077104 1005115656 2010231312