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1014121104 = 24331798627
BaseRepresentation
bin111100011100100…
…100001010010000
32121200020200121220
4330130210022100
54034103333404
6244344045040
734062613203
oct7434441220
92550220556
101014121104
11480499217
12243763780
13132142779
149898593a
155e0704d9
hex3c724290

1014121104 has 80 divisors (see below), whose sum is σ = 2738872320. Its totient is φ = 322957440.

The previous prime is 1014121093. The next prime is 1014121109. The reversal of 1014121104 is 4011214101.

It is a super-2 number, since 2×10141211042 = 2056883227156357632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1014121109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113239 + ... + 121865.

It is an arithmetic number, because the mean of its divisors is an integer number (34235904).

Almost surely, 21014121104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369436160).

1014121104 is an abundant number, since it is smaller than the sum of its proper divisors (1724751216).

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

1014121104 is a wasteful number, since it uses less digits than its factorization.

1014121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8748 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1014121104 is about 31845.2681571376. The cubic root of 1014121104 is about 1004.6850506882.

Adding to 1014121104 its reverse (4011214101), we get a palindrome (5025335205).

The spelling of 1014121104 in words is "one billion, fourteen million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 79 93 124 158 186 237 248 316 372 474 496 632 744 948 1264 1488 1896 2449 3792 4898 7347 8627 9796 14694 17254 19592 25881 29388 34508 39184 51762 58776 69016 103524 117552 138032 207048 267437 414096 534874 681533 802311 1069748 1363066 1604622 2044599 2139496 2726132 3209244 4089198 4278992 5452264 6418488 8178396 10904528 12836976 16356792 21127523 32713584 42255046 63382569 84510092 126765138 169020184 253530276 338040368 507060552 1014121104