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131323330001112 = 23326954755766763
BaseRepresentation
bin11101110111000000011000…
…011011110111100011011000
3122012222101110122212121000020
4131313000120123313203120
5114203100134440013422
61143145034400310440
736442540353134124
oct3567003033674330
9565871418777006
10131323330001112
1138930a03214577
121288b411612420
135837976c11bc2
142460123db8584
15102b04b76695c
hex7770186f78d8

131323330001112 has 128 divisors (see below), whose sum is σ = 330728880211200. Its totient is φ = 43453178915328.

The previous prime is 131323330001027. The next prime is 131323330001261. The reversal of 131323330001112 is 211100033323131.

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

It is a congruent number.

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, 1966974243 + ... + 1967041005.

It is an arithmetic number, because the mean of its divisors is an integer number (2583819376650).

Almost surely, 2131323330001112 is an apocalyptic number.

131323330001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131323330001112 is an abundant number, since it is smaller than the sum of its proper divisors (199405550210088).

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

131323330001112 is a wasteful number, since it uses less digits than its factorization.

131323330001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68145 (or 68141 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131323330001112 its reverse (211100033323131), we get a palindrome (342423363324243).

The spelling of 131323330001112 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, three hundred thirty million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 269 538 547 557 807 1076 1094 1114 1614 1641 1671 2152 2188 2228 3228 3282 3342 4376 4456 6456 6564 6684 13128 13368 66763 133526 147143 149833 200289 267052 294286 299666 304679 400578 441429 449499 534104 588572 599332 609358 801156 882858 898998 914037 1177144 1198664 1218716 1602312 1765716 1797996 1828074 2437432 3531432 3595992 3656148 7312296 17959247 35918494 36519361 37186991 53877741 71836988 73038722 74373982 81958651 107755482 109558083 111560973 143673976 146077444 148747964 163917302 215510964 219116166 223121946 245875953 292154888 297495928 327834604 431021928 438232332 446243892 491751906 655669208 876464664 892487784 983503812 1967007624 9823708109 10003300579 19647416218 20006601158 20341284077 29471124327 30009901737 39294832436 40013202316 40682568154 58942248654 60019803474 61023852231 78589664872 80026404632 81365136308 117884497308 120039606948 122047704462 162730272616 235768994616 240079213896 244095408924 488190817848 5471805416713 10943610833426 16415416250139 21887221666852 32830832500278 43774443333704 65661665000556 131323330001112