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31312232213100 = 22352373156789363
BaseRepresentation
bin1110001111010011100100…
…11110100110101001101100
311002212102100022010000112220
413013221302132212221230
513101004422421304400
6150332350233355340
76411143206225506
oct707516236465154
9132772308100486
1031312232213100
119a82496859a73
12361862b268b50
1314619668238b7
147a373d31cd76
15394782a3d7a0
hex1c7a727a6a6c

31312232213100 has 144 divisors (see below), whose sum is σ = 93049274131968. Its totient is φ = 8123906568960.

The previous prime is 31312232213071. The next prime is 31312232213111. The reversal of 31312232213100 is 131223221313.

It is a super-2 number, since 2×313122322131002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350349019 + ... + 350438381.

Almost surely, 231312232213100 is an apocalyptic number.

31312232213100 is a gapful number since it is divisible by the number (30) 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 31312232213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46524637065984).

31312232213100 is an abundant number, since it is smaller than the sum of its proper divisors (61737041918868).

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

31312232213100 is a wasteful number, since it uses less digits than its factorization.

31312232213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120984 (or 120977 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31312232213100 its reverse (131223221313), we get a palindrome (31443455434413).

The spelling of 31312232213100 in words is "thirty-one trillion, three hundred twelve billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 31567 63134 89363 94701 126268 157835 178726 189402 268089 315670 357452 378804 446815 473505 536178 631340 789175 893630 947010 1072356 1167979 1340445 1578350 1787260 1894020 2234075 2335958 2367525 2680890 3156700 3306431 3503937 4468150 4671916 4735050 5361780 5839895 6612862 6702225 7007874 8936300 9470100 9919293 11679790 13225724 13404450 14015748 16532155 17519685 19838586 23359580 26808900 29199475 33064310 35039370 39677172 49596465 58398950 66128620 70078740 82660775 87598425 99192930 116797900 165321550 175196850 198385860 247982325 330643100 350393700 495964650 991929300 2820921821 5641843642 8462765463 11283687284 14104609105 16925530926 28209218210 33851061852 42313827315 56418436420 70523045525 84627654630 104374107377 141046091050 169255309260 208748214754 211569136575 282092182100 313122322131 417496429508 423138273150 521870536885 626244644262 846276546300 1043741073770 1252489288524 1565611610655 2087482147540 2609352684425 3131223221310 5218705368850 6262446442620 7828058053275 10437410737700 15656116106550 31312232213100