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1310552412 = 2231325389137
BaseRepresentation
bin100111000011101…
…0111000101011100
310101100000221221020
41032013113011130
510141000134122
6334013404140
744322340341
oct11607270534
93340027836
101310552412
11612855474
12306a99650
1317b691100
14c60aa7c8
157a0c6c5c
hex4e1d715c

1310552412 has 144 divisors (see below), whose sum is σ = 3436564320. Its totient is φ = 388337664.

The previous prime is 1310552393. The next prime is 1310552431. The reversal of 1310552412 is 2142550131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1310552393) and next prime (1310552431).

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, 9566008 + ... + 9566144.

It is an arithmetic number, because the mean of its divisors is an integer number (23865030).

Almost surely, 21310552412 is an apocalyptic number.

1310552412 is a gapful number since it is divisible by the number (12) 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 1310552412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718282160).

1310552412 is an abundant number, since it is smaller than the sum of its proper divisors (2126011908).

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

1310552412 is a wasteful number, since it uses less digits than its factorization.

1310552412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1310552412 is about 36201.5526186378. The cubic root of 1310552412 is about 1094.3379613966.

The spelling of 1310552412 in words is "one billion, three hundred ten million, five hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 89 106 137 156 159 169 178 212 267 274 318 338 356 411 507 534 548 636 676 689 822 1014 1068 1157 1378 1644 1781 2028 2067 2314 2756 3471 3562 4134 4628 4717 5343 6942 7124 7261 8268 8957 9434 10686 12193 13884 14151 14522 15041 17914 18868 21372 21783 23153 24386 26871 28302 29044 30082 35828 36579 43566 45123 46306 48772 53742 56604 60164 61321 69459 73158 87132 90246 92612 94393 107484 122642 138918 146316 158509 180492 183963 188786 245284 277836 283179 317018 367926 377572 475527 566358 634036 646229 735852 797173 951054 1132716 1227109 1292458 1594346 1902108 1938687 2060617 2391519 2454218 2584916 3188692 3681327 3877374 4121234 4783038 4908436 6181851 7362654 7754748 8242468 8400977 9566076 12363702 14725308 16801954 24727404 25202931 33603908 50405862 100811724 109212701 218425402 327638103 436850804 655276206 1310552412