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131122012230320 = 24517246471122041
BaseRepresentation
bin11101110100000100111000…
…111101100001001010110000
3122012021010211110222012211012
4131310010320331201022300
5114141300340112332240
61142512342034010052
736422152461253556
oct3564047075411260
9565233743865735
10131122012230320
1138863595618701
12128583a8716928
1358219a28a51c7
1424544a6cabbd6
151025bb7791b65
hex774138f612b0

131122012230320 has 120 divisors (see below), whose sum is σ = 323856038622048. Its totient is φ = 49362114355200.

The previous prime is 131122012230311. The next prime is 131122012230323. The reversal of 131122012230320 is 23032210221131.

It is not an unprimeable number, because it can be changed into a prime (131122012230323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074348500 + ... + 1074470540.

Almost surely, 2131122012230320 is an apocalyptic number.

131122012230320 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 131122012230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161928019311024).

131122012230320 is an abundant number, since it is smaller than the sum of its proper divisors (192734026391728).

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

131122012230320 is a wasteful number, since it uses less digits than its factorization.

131122012230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168559 (or 168536 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 131122012230320 its reverse (23032210221131), we get a palindrome (154154222451451).

The spelling of 131122012230320 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, twelve million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 11560 23120 46471 92942 122041 185884 232355 244082 371768 464710 488164 610205 743536 790007 929420 976328 1220410 1580014 1858840 1952656 2074697 2440820 3160028 3717680 3950035 4149394 4881640 6320056 7900070 8298788 9763280 10373485 12640112 13430119 15800140 16597576 20746970 26860238 31600280 33195152 35269849 41493940 53720476 63200560 67150595 70539698 82987880 107440952 134301190 141079396 165975760 176349245 214881904 268602380 282158792 352698490 537204760 564317584 705396980 1074409520 1410793960 2821587920 5671367311 11342734622 22685469244 28356836555 45370938488 56713673110 90741876976 96413244287 113427346220 192826488574 226854692440 385652977148 453709384880 482066221435 771305954296 964132442870 1542611908592 1639025152879 1928264885740 3278050305758 3856529771480 6556100611516 7713059542960 8195125764395 13112201223032 16390251528790 26224402446064 32780503057580 65561006115160 131122012230320