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10011233130 = 23567279941
BaseRepresentation
bin10010101001011011…
…10100101101101010
3221211200220100002020
421110231310231222
5131000333430010
64333223245310
7503042035413
oct112455645552
927750810066
1010011233130
114278097698
121b348a9836
13c371213b2
146ad84880a
153d8d7b470
hex254b74b6a

10011233130 has 96 divisors (see below), whose sum is σ = 24725917440. Its totient is φ = 2593768320.

The previous prime is 10011233129. The next prime is 10011233131. The reversal of 10011233130 is 3133211001.

It is an interprime number because it is at equal distance from previous prime (10011233129) and next prime (10011233131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10011233131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10638460 + ... + 10639400.

It is an arithmetic number, because the mean of its divisors is an integer number (257561640).

Almost surely, 210011233130 is an apocalyptic number.

10011233130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011233130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362958720).

10011233130 is an abundant number, since it is smaller than the sum of its proper divisors (14714684310).

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

10011233130 is an equidigital number, since it uses as much as digits as its factorization.

10011233130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10011233130 its reverse (3133211001), we get a palindrome (13144444131).

The spelling of 10011233130 in words is "ten billion, eleven million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 79 134 158 201 237 335 395 402 474 670 790 941 1005 1185 1882 2010 2370 2823 4489 4705 5293 5646 8978 9410 10586 13467 14115 15879 22445 26465 26934 28230 31758 44890 52930 63047 67335 74339 79395 126094 134670 148678 158790 189141 223017 315235 354631 371695 378282 446034 630470 709262 743390 945705 1063893 1115085 1773155 1891410 2127786 2230170 3546310 4224149 4980713 5319465 8448298 9961426 10638930 12672447 14942139 21120745 24903565 25344894 29884278 42241490 49807130 63362235 74710695 126724470 149421390 333707771 667415542 1001123313 1668538855 2002246626 3337077710 5005616565 10011233130