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1012108146 = 237235212011
BaseRepresentation
bin111100010100111…
…000101101110010
32121112110102100220
4330110320231302
54033044430041
6244232553510
734036530420
oct7424705562
92545412326
101012108146
1147a343915
12242b52896
131318b947a
14985c0110
155dcc3d66
hex3c538b72

1012108146 has 64 divisors (see below), whose sum is σ = 2419808256. Its totient is φ = 275932800.

The previous prime is 1012108133. The next prime is 1012108159. The reversal of 1012108146 is 6418012101.

It is an interprime number because it is at equal distance from previous prime (1012108133) and next prime (1012108159).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502281 + ... + 504291.

It is an arithmetic number, because the mean of its divisors is an integer number (37809504).

Almost surely, 21012108146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012108146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209904128).

1012108146 is an abundant number, since it is smaller than the sum of its proper divisors (1407700110).

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

1012108146 is a wasteful number, since it uses less digits than its factorization.

1012108146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1012108146 is about 31813.6471659569. The cubic root of 1012108146 is about 1004.0198676777.

The spelling of 1012108146 in words is "one billion, twelve million, one hundred eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 521 966 1042 1563 2011 3126 3647 4022 6033 7294 10941 11983 12066 14077 21882 23966 28154 35949 42231 46253 71898 83881 84462 92506 138759 167762 251643 277518 323771 503286 647542 971313 1047731 1942626 2095462 3143193 6286386 7334117 14668234 22002351 24097813 44004702 48195626 72293439 144586878 168684691 337369382 506054073 1012108146