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1130010029984 = 2511277102111351
BaseRepresentation
bin10000011100011001110…
…110001010111110100000
311000000202100020020122202
4100130121312022332200
5122003230031424414
62223041444352332
7144432462526223
oct20343166127640
94000670206582
101130010029984
113a6264225770
121630060a56a8
1382737272774
143c99ada35ba
151e5da40b9de
hex10719d8afa0

1130010029984 has 96 divisors (see below), whose sum is σ = 2438315332992. Its totient is φ = 511240320000.

The previous prime is 1130010029983. The next prime is 1130010029999. The reversal of 1130010029984 is 4899200100311.

It is not an unprimeable number, because it can be changed into a prime (1130010029983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99545909 + ... + 99557259.

It is an arithmetic number, because the mean of its divisors is an integer number (25399118052).

Almost surely, 21130010029984 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 1130010029984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219157666496).

1130010029984 is an abundant number, since it is smaller than the sum of its proper divisors (1308305303008).

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

1130010029984 is a wasteful number, since it uses less digits than its factorization.

1130010029984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12670 (or 12662 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 1130010029984 in words is "one trillion, one hundred thirty billion, ten million, twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 277 352 554 1021 1108 2042 2216 3047 4084 4432 6094 8168 8864 11231 11351 12188 16336 22462 22702 24376 32672 44924 45404 48752 89848 90808 97504 124861 179696 181616 249722 282817 359392 363232 499444 565634 998888 1131268 1997776 2262536 3110987 3144227 3995552 4525072 6221974 6288454 9050144 11589371 12443948 12576908 23178742 24887896 25153816 34586497 46357484 49775792 50307632 69172994 92714968 99551584 100615264 127483081 138345988 185429936 254966162 276691976 370859872 509932324 553383952 1019864648 1106767904 2039729296 3210255767 4079458592 6420511534 12841023068 25682046136 35312813437 51364092272 70625626874 102728184544 141251253748 282502507496 565005014992 1130010029984