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1012111002 = 232731534889
BaseRepresentation
bin111100010100111…
…001011010011010
32121112110120021200
4330110321122122
54033100023002
6244233015030
734036541640
oct7424713232
92545416250
101012111002
1147a345a81
12242b54476
131318ba866
14985c1190
155dcc4b1c
hex3c53969a

1012111002 has 96 divisors (see below), whose sum is σ = 2636375040. Its totient is φ = 274510080.

The previous prime is 1012110989. The next prime is 1012111039. The reversal of 1012111002 is 2001112101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204574 + ... + 209462.

It is an arithmetic number, because the mean of its divisors is an integer number (27462240).

Almost surely, 21012111002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318187520).

1012111002 is an abundant number, since it is smaller than the sum of its proper divisors (1624264038).

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

1012111002 is a wasteful number, since it uses less digits than its factorization.

1012111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1012111002 is about 31813.6920523224. The cubic root of 1012111002 is about 1004.0208120689.

Adding to 1012111002 its reverse (2001112101), we get a palindrome (3013223103).

The spelling of 1012111002 in words is "one billion, twelve million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 53 62 63 93 106 126 159 186 217 279 318 371 434 477 558 651 742 954 1113 1302 1643 1953 2226 3286 3339 3906 4889 4929 6678 9778 9858 11501 14667 14787 23002 29334 29574 34223 34503 44001 68446 69006 88002 102669 103509 151559 205338 207018 259117 303118 308007 454677 518234 616014 777351 909354 1060913 1364031 1554702 1813819 2121826 2332053 2728062 3182739 3627638 4664106 5441457 6365478 8032627 9548217 10882914 16065254 16324371 19096434 24097881 32648742 48195762 56228389 72293643 112456778 144587286 168685167 337370334 506055501 1012111002