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31322000132310 = 23547831787149771
BaseRepresentation
bin1110001111100101110001…
…01100010000100011010110
311002220100120001011201200110
413013302320230100203112
513101134424013213220
6150341043410023450
76411640235200206
oct707627054204326
9132810501151613
1031322000132310
119a8664956a278
12361a4b6577b86
131462862403954
147a3dc870c406
15394b55356be0
hex1c7cb8b108d6

31322000132310 has 128 divisors (see below), whose sum is σ = 77741186310144. Its totient is φ = 8071754702720.

The previous prime is 31322000132309. The next prime is 31322000132387. The reversal of 31322000132310 is 1323100022313.

It is a super-2 number, since 2×313220001323102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209057725 + ... + 209207495.

It is an arithmetic number, because the mean of its divisors is an integer number (607353018048).

Almost surely, 231322000132310 is an apocalyptic number.

31322000132310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31322000132310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38870593155072).

31322000132310 is an abundant number, since it is smaller than the sum of its proper divisors (46419186177834).

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

31322000132310 is a wasteful number, since it uses less digits than its factorization.

31322000132310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151698.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31322000132310 its reverse (1323100022313), we get a palindrome (32645100154623).

The spelling of 31322000132310 in words is "thirty-one trillion, three hundred twenty-two billion, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 83 94 141 166 235 249 282 415 470 498 705 830 1245 1410 1787 2490 3574 3901 5361 7802 8935 10722 11703 17870 19505 23406 26805 39010 53610 58515 83989 117030 148321 149771 167978 251967 296642 299542 419945 444963 449313 503934 741605 748855 839890 889926 898626 1259835 1483210 1497710 2224815 2246565 2519670 4449630 4493130 6971087 7039237 12430993 13942174 14078474 20913261 21117711 24861986 34855435 35196185 37292979 41826522 42235422 62154965 69710870 70392370 74585958 104566305 105588555 124309930 186464895 209132610 211177110 267640777 372929790 535281554 584256671 802922331 1168513342 1338203885 1605844662 1752770013 2676407770 2921283355 3505540026 4014611655 5842566710 8029223310 8763850065 12579116519 17527700130 22214184491 25158233038 37737349557 44428368982 62895582595 66642553473 75474699114 111070922455 125791165190 133285106946 188686747785 222141844910 333212767365 377373495570 666425534730 1044066671077 2088133342154 3132200013231 5220333355385 6264400026462 10440666710770 15661000066155 31322000132310