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1011074232 = 233727910883
BaseRepresentation
bin111100010000111…
…100010010111000
32121110111220002210
4330100330102320
54032313333412
6244154455120
734024663200
oct7420742270
92543456083
101011074232
114797a8043
122427344a0
1313161699c
14983d1400
155db6c83c
hex3c43c4b8

1011074232 has 96 divisors (see below), whose sum is σ = 2977862400. Its totient is φ = 285195456.

The previous prime is 1011074219. The next prime is 1011074369. The reversal of 1011074232 is 2324701101.

It is a super-2 number, since 2×10110742322 = 2044542205228779648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1011074199 and 1011074208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87463 + ... + 98345.

It is an arithmetic number, because the mean of its divisors is an integer number (31019400).

Almost surely, 21011074232 is an apocalyptic number.

1011074232 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 1011074232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488931200).

1011074232 is an abundant number, since it is smaller than the sum of its proper divisors (1966788168).

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

1011074232 is a wasteful number, since it uses less digits than its factorization.

1011074232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10985 (or 10974 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1011074232 is about 31797.3934780824. The cubic root of 1011074232 is about 1003.6778673751.

Adding to 1011074232 its reverse (2324701101), we get a palindrome (3335775333).

The spelling of 1011074232 in words is "one billion, eleven million, seventy-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 79 84 98 147 158 168 196 237 294 316 392 474 553 588 632 948 1106 1176 1659 1896 2212 3318 3871 4424 6636 7742 10883 11613 13272 15484 21766 23226 30968 32649 43532 46452 65298 76181 87064 92904 130596 152362 228543 261192 304724 457086 533267 609448 859757 914172 1066534 1599801 1719514 1828344 2133068 2579271 3199602 3439028 4266136 5158542 6018299 6399204 6878056 10317084 12036598 12798408 18054897 20634168 24073196 36109794 42128093 48146392 72219588 84256186 126384279 144439176 168512372 252768558 337024744 505537116 1011074232