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1310001132 = 2231119237743
BaseRepresentation
bin100111000010101…
…0000011111101100
310101021222221201110
41032011100133230
510140330014012
6333553512020
744314553166
oct11605203754
93337887643
101310001132
11612509270
12306872610
1317b52a1cb
14c5da5936
157a01873c
hex4e1507ec

1310001132 has 144 divisors (see below), whose sum is σ = 3619268352. Its totient is φ = 365420160.

The previous prime is 1310001103. The next prime is 1310001157. The reversal of 1310001132 is 2311000131.

It is a super-2 number, since 2×13100011322 = 3432205931682562848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1762753 + ... + 1763495.

It is an arithmetic number, because the mean of its divisors is an integer number (25133808).

Almost surely, 21310001132 is an apocalyptic number.

1310001132 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 1310001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809634176).

1310001132 is an abundant number, since it is smaller than the sum of its proper divisors (2309267220).

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

1310001132 is a wasteful number, since it uses less digits than its factorization.

1310001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1310001132 is about 36193.9377796890. The cubic root of 1310001132 is about 1094.1844965330.

Adding to 1310001132 its reverse (2311000131), we get a palindrome (3621001263).

The spelling of 1310001132 in words is "one billion, three hundred ten million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 37 38 44 57 66 74 76 111 114 132 148 209 222 228 361 407 418 444 627 703 722 743 814 836 1083 1221 1254 1406 1444 1486 1628 2109 2166 2229 2442 2508 2812 2972 3971 4218 4332 4458 4884 7733 7942 8173 8436 8916 11913 13357 14117 15466 15884 16346 23199 23826 24519 26714 27491 28234 30932 32692 40071 42351 46398 47652 49038 53428 54982 56468 80142 82473 84702 92796 98076 109964 146927 155287 160284 164946 169404 268223 293854 302401 310574 329892 440781 465861 522329 536446 587708 604802 621148 804669 881562 907203 931722 1044658 1072892 1209604 1566987 1609338 1763124 1814406 1863444 2089316 2950453 3133974 3218676 3628812 5745619 5900906 6267948 8851359 9924251 11491238 11801812 17236857 17702718 19848502 22982476 29772753 34473714 35405436 39697004 59545506 68947428 109166761 119091012 218333522 327500283 436667044 655000566 1310001132