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1312411356 = 223317291572
BaseRepresentation
bin100111000111001…
…1100111011011100
310101110112101221000
41032032130323130
510141434130411
6334121310300
744344212114
oct11616347334
93343471830
101312411356
11613905093
12307635390
1317bb92289
14c6432044
157a342956
hex4e39cedc

1312411356 has 144 divisors (see below), whose sum is σ = 3750818400. Its totient is φ = 395006976.

The previous prime is 1312411333. The next prime is 1312411361. The reversal of 1312411356 is 6531142131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 8359230 + ... + 8359386.

It is an arithmetic number, because the mean of its divisors is an integer number (26047350).

Almost surely, 21312411356 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 1312411356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875409200).

1312411356 is an abundant number, since it is smaller than the sum of its proper divisors (2438407044).

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

1312411356 is a wasteful number, since it uses less digits than its factorization.

1312411356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 208 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1312411356 is about 36227.2184413874. The cubic root of 1312411356 is about 1094.8551356491.

Adding to 1312411356 its reverse (6531142131), we get a palindrome (7843553487).

The spelling of 1312411356 in words is "one billion, three hundred twelve million, four hundred eleven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 87 102 108 116 153 157 174 204 261 306 314 348 459 471 493 522 612 628 783 918 942 986 1044 1413 1479 1566 1836 1884 1972 2669 2826 2958 3132 4239 4437 4553 5338 5652 5916 8007 8478 8874 9106 10676 13311 13659 16014 16956 17748 18212 24021 24649 26622 27318 32028 40977 48042 49298 53244 54636 72063 73947 77401 81954 96084 98596 122931 144126 147894 154802 163908 221841 232203 245862 288252 295788 309604 419033 443682 464406 491724 665523 696609 714821 838066 887364 928812 1257099 1331046 1393218 1429642 1676132 2089827 2144463 2514198 2662092 2786436 2859284 3771297 4179654 4288926 5028396 6433389 7542594 8359308 8577852 11313891 12151957 12866778 15085188 19300167 22627782 24303914 25733556 36455871 38600334 45255564 48607828 72911742 77200668 109367613 145823484 218735226 328102839 437470452 656205678 1312411356