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1213231131312 = 243173751797759
BaseRepresentation
bin10001101001111010001…
…101011110101010110000
311021222120011102012222220
4101221322031132222300
5124334144132200222
62325203425401040
7153436666314624
oct21517215365260
94258504365886
101213231131312
1142858a387962
12177170799180
138a53a8238a5
1442a1385b184
152185b595b5c
hex11a7a35eab0

1213231131312 has 160 divisors (see below), whose sum is σ = 3409331788800. Its totient is φ = 370215235584.

The previous prime is 1213231131289. The next prime is 1213231131331. The reversal of 1213231131312 is 2131311323121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 156360489 + ... + 156368247.

It is an arithmetic number, because the mean of its divisors is an integer number (21308323680).

Almost surely, 21213231131312 is an apocalyptic number.

1213231131312 is a gapful number since it is divisible by the number (12) 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 1213231131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704665894400).

1213231131312 is an abundant number, since it is smaller than the sum of its proper divisors (2196100657488).

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

1213231131312 is a wasteful number, since it uses less digits than its factorization.

1213231131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13003 (or 12997 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 1213231131312 its reverse (2131311323121), we get a palindrome (3344542454433).

The spelling of 1213231131312 in words is "one trillion, two hundred thirteen billion, two hundred thirty-one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 296 408 444 592 629 816 888 1258 1776 1887 2516 3774 5032 5179 7548 7759 10064 10358 15096 15518 15537 20716 23277 30192 31036 31074 41432 46554 62072 62148 82864 88043 93108 124144 124296 131903 176086 186216 191623 248592 263806 264129 287083 352172 372432 383246 395709 527612 528258 574166 574869 704344 766492 791418 861249 1055224 1056516 1148332 1149738 1408688 1532984 1582836 1722498 2110448 2113032 2296664 2299476 3065968 3165672 3257591 3444996 4226064 4593328 4598952 4880411 6331344 6515182 6889992 9197904 9760822 9772773 13030364 13779984 14641233 19521644 19545546 26060728 29282466 39043288 39091092 40183861 52121456 58564932 78086576 78182184 80367722 117129864 120551583 156364368 160735444 234259728 241103166 321470888 482206332 642941776 683125637 964412664 1366251274 1486802857 1928825328 2049376911 2732502548 2973605714 4098753822 4460408571 5465005096 5947211428 8197507644 8920817142 10930010192 11894422856 16395015288 17841634284 23788845712 25275648569 32790030576 35683268568 50551297138 71366537136 75826945707 101102594276 151653891414 202205188552 303307782828 404410377104 606615565656 1213231131312