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1130001054 = 2372131731709
BaseRepresentation
bin100001101011010…
…0111001010011110
32220202022000000220
41003112213022132
54303240013204
6304043502210
740000564500
oct10326471236
92822260026
101130001054
1152a946576
12276527966
131501562a0
14aa10bd70
15693101d9
hex435a729e

1130001054 has 96 divisors (see below), whose sum is σ = 2849243040. Its totient is φ = 296126208.

The previous prime is 1130001031. The next prime is 1130001077. The reversal of 1130001054 is 4501000311.

It is an interprime number because it is at equal distance from previous prime (1130001031) and next prime (1130001077).

It is a super-2 number, since 2×11300010542 = 2553804764082221832, which contains 22 as substring.

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, 660352 + ... + 662060.

It is an arithmetic number, because the mean of its divisors is an integer number (29679615).

Almost surely, 21130001054 is an apocalyptic number.

1130001054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130001054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424621520).

1130001054 is an abundant number, since it is smaller than the sum of its proper divisors (1719241986).

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

1130001054 is a wasteful number, since it uses less digits than its factorization.

1130001054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1130001054 is about 33615.4883052441. The cubic root of 1130001054 is about 1041.5807611489.

Adding to 1130001054 its reverse (4501000311), we get a palindrome (5631001365).

The spelling of 1130001054 in words is "one billion, one hundred thirty million, one thousand, fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 173 182 273 294 346 519 546 637 1038 1211 1274 1709 1911 2249 2422 3418 3633 3822 4498 5127 6747 7266 8477 10254 11963 13494 15743 16954 22217 23926 25431 31486 35889 44434 47229 50862 66651 71778 83741 94458 110201 133302 155519 167482 220402 251223 295657 311038 330603 466557 502446 591314 661206 886971 933114 1088633 1773942 2069599 2177266 3265899 3843541 4139198 6208797 6531798 7687082 11530623 12417594 14487193 23061246 26904787 28974386 43461579 53809574 80714361 86923158 161428722 188333509 376667018 565000527 1130001054