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1130132310024 = 2331929831029647
BaseRepresentation
bin10000011100100001001…
…000101000100000001000
311000001001212022201100010
4100130201020220200020
5122004002332410044
62223101533311520
7144435506064624
oct20344110504010
94001055281303
101130132310024
113a6317254553
1216303b0355a0
13827566b7413
143c9ad314184
151e5e6012bb9
hex10721228808

1130132310024 has 128 divisors (see below), whose sum is σ = 3113655552000. Its totient is φ = 340425679104.

The previous prime is 1130132310011. The next prime is 1130132310037. The reversal of 1130132310024 is 4200132310311.

It is an interprime number because it is at equal distance from previous prime (1130132310011) and next prime (1130132310037).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582769 + ... + 1612415.

It is an arithmetic number, because the mean of its divisors is an integer number (24325434000).

Almost surely, 21130132310024 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 1130132310024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556827776000).

1130132310024 is an abundant number, since it is smaller than the sum of its proper divisors (1983523241976).

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

1130132310024 is a wasteful number, since it uses less digits than its factorization.

1130132310024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029787 (or 1029783 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1130132310024 its reverse (4200132310311), we get a palindrome (5330264620335).

The spelling of 1130132310024 in words is "one trillion, one hundred thirty billion, one hundred thirty-two million, three hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 83 87 114 116 152 166 174 228 232 249 332 348 456 498 551 664 696 996 1102 1577 1653 1992 2204 2407 3154 3306 4408 4731 4814 6308 6612 7221 9462 9628 12616 13224 14442 18924 19256 28884 37848 45733 57768 91466 137199 182932 274398 365864 548796 1029647 1097592 2059294 3088941 4118588 6177882 8237176 12355764 19563293 24711528 29859763 39126586 58689879 59719526 78253172 85460701 89579289 117379758 119439052 156506344 170921402 179158578 234759516 238878104 256382103 341842804 358317156 469519032 512764206 567335497 683685608 716634312 1025528412 1134670994 1623753319 1702006491 2051056824 2269341988 2478360329 3247506638 3404012982 4538683976 4871259957 4956720658 6495013276 6808025964 7435080987 9742519914 9913441316 12990026552 13616051928 14870161974 19485039828 19826882632 29740323948 38970079656 47088846251 59480647896 94177692502 141266538753 188355385004 282533077506 376710770008 565066155012 1130132310024