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1213434120 = 233559367467
BaseRepresentation
bin100100001010011…
…1000100100001000
310010120021211200110
41020110320210020
54441114342440
6320224034320
742033006543
oct11024704410
93116254613
101213434120
11572a52018
1229a4629a0
13164519172
14b722985a
15717e1080
hex48538908

1213434120 has 128 divisors (see below), whose sum is σ = 3720038400. Its totient is φ = 316551936.

The previous prime is 1213434083. The next prime is 1213434133. The reversal of 1213434120 is 214343121.

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, 2598127 + ... + 2598593.

It is an arithmetic number, because the mean of its divisors is an integer number (29062800).

Almost surely, 21213434120 is an apocalyptic number.

1213434120 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 1213434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860019200).

1213434120 is an abundant number, since it is smaller than the sum of its proper divisors (2506604280).

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

1213434120 is a wasteful number, since it uses less digits than its factorization.

1213434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1213434120 is about 34834.3812920511. The cubic root of 1213434120 is about 1066.6093853788.

Adding to 1213434120 its reverse (214343121), we get a palindrome (1427777241).

Subtracting from 1213434120 its reverse (214343121), we obtain a palindrome (999090999).

The spelling of 1213434120 in words is "one billion, two hundred thirteen million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 367 467 472 590 708 734 885 934 1101 1180 1401 1416 1468 1770 1835 1868 2202 2335 2360 2802 2936 3540 3670 3736 4404 4670 5505 5604 7005 7080 7340 8808 9340 11010 11208 14010 14680 18680 21653 22020 27553 28020 43306 44040 55106 56040 64959 82659 86612 108265 110212 129918 137765 165318 171389 173224 216530 220424 259836 275530 324795 330636 342778 413295 433060 514167 519672 551060 649590 661272 685556 826590 856945 866120 1028334 1102120 1299180 1371112 1653180 1713890 2056668 2570835 2598360 3306360 3427780 4113336 5141670 6855560 10111951 10283340 20223902 20566680 30335853 40447804 50559755 60671706 80895608 101119510 121343412 151679265 202239020 242686824 303358530 404478040 606717060 1213434120