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31013222212120 = 23573137283273941
BaseRepresentation
bin1110000110100110101000…
…00101111110001000011000
311001210211112210001011011011
413003103110011332020120
513031110034341241440
6145543135543343304
76350426362161511
oct703232405761030
9131724483034134
1031013222212120
1199776a7475685
12358a6a1451b34
13143c6c3b40035
14793095883a08
1538bad22379ea
hex1c34d417e218

31013222212120 has 128 divisors (see below), whose sum is σ = 71503990194240. Its totient is φ = 12103081205760.

The previous prime is 31013222212103. The next prime is 31013222212123. The reversal of 31013222212120 is 2121222231013.

It is a junction number, because it is equal to n+sod(n) for n = 31013222212091 and 31013222212100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013222212123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113074350 + ... + 113348290.

Almost surely, 231013222212120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31013222212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35751995097120).

31013222212120 is an abundant number, since it is smaller than the sum of its proper divisors (40490767982120).

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

31013222212120 is a wasteful number, since it uses less digits than its factorization.

31013222212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274445 (or 274441 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 31013222212120 its reverse (2121222231013), we get a palindrome (33134444443133).

The spelling of 31013222212120 in words is "thirty-one trillion, thirteen billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 137 146 274 283 292 365 548 566 584 685 730 1096 1132 1370 1415 1460 2264 2740 2830 2920 5480 5660 10001 11320 20002 20659 38771 40004 41318 50005 77542 80008 82636 100010 103295 155084 165272 193855 200020 206590 273941 310168 387710 400040 413180 547882 775420 826360 1095764 1369705 1550840 2191528 2739410 2830283 5478820 5660566 10957640 11321132 14151415 19997693 22642264 28302830 37529917 39995386 56605660 75059834 77525303 79990772 99988465 113211320 150119668 155050606 159981544 187649585 199976930 300239336 310101212 375299170 387626515 399953860 620202424 750598340 775253030 799907720 1501196680 1550506060 2739683941 3101012120 5479367882 5659347119 10620966511 10958735764 11318694238 13698419705 21241933022 21917471528 22637388476 27396839410 28296735595 42483866044 45274776952 53104832555 54793678820 56593471190 84967732088 106209665110 109587357640 113186942380 212419330220 226373884760 424838660440 775330555303 1550661110606 3101322221212 3876652776515 6202644442424 7753305553030 15506611106060 31013222212120