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1350101088 = 253371931379
BaseRepresentation
bin101000001111000…
…1110100001100000
310111002110020112000
41100132032201200
510231111213323
6341545204000
745312445530
oct12036164140
93432406460
101350101088
11633107a26
12318190600
1318692a3ab
14cb4434c0
157d7d9e43
hex5078e860

1350101088 has 384 divisors, whose sum is σ = 4902912000. Its totient is φ = 352719360.

The previous prime is 1350101083. The next prime is 1350101147. The reversal of 1350101088 is 8801010531.

It is a super-3 number, since 3×13501010883 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350101083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3562083 + ... + 3562461.

It is an arithmetic number, because the mean of its divisors is an integer number (12768000).

Almost surely, 21350101088 is an apocalyptic number.

1350101088 is a gapful number since it is divisible by the number (18) 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 1350101088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451456000).

1350101088 is an abundant number, since it is smaller than the sum of its proper divisors (3552810912).

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

1350101088 is a wasteful number, since it uses less digits than its factorization.

1350101088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1350101088 is about 36743.7217494363. The cubic root of 1350101088 is about 1105.2370349315.

The spelling of 1350101088 in words is "one billion, three hundred fifty million, one hundred one thousand, eighty-eight".