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1012121046 = 232315971433
BaseRepresentation
bin111100010100111…
…011110111010110
32121112111002001200
4330110323313112
54033100333141
6244233133330
734036613136
oct7424736726
92545432050
101012121046
1147a352582
12242b5a246
131318c22c1
14985c4ac6
155dcc7ab6
hex3c53bdd6

1012121046 has 96 divisors (see below), whose sum is σ = 2339850240. Its totient is φ = 315705600.

The previous prime is 1012121029. The next prime is 1012121053. The reversal of 1012121046 is 6401212101.

It is a super-2 number, since 2×10121210462 = 2048778023512268232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2337246 + ... + 2337678.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 21012121046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012121046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

1012121046 is an abundant number, since it is smaller than the sum of its proper divisors (1327729194).

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

1012121046 is a wasteful number, since it uses less digits than its factorization.

1012121046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1012121046 is about 31813.8499084911. The cubic root of 1012121046 is about 1004.0241332961.

Adding to 1012121046 its reverse (6401212101), we get a palindrome (7413333147).

The spelling of 1012121046 in words is "one billion, twelve million, one hundred twenty-one thousand, forty-six".

Divisors: 1 2 3 6 9 18 31 59 62 71 93 118 142 177 186 213 279 354 426 433 531 558 639 866 1062 1278 1299 1829 2201 2598 3658 3897 4189 4402 5487 6603 7794 8378 10974 12567 13206 13423 16461 19809 25134 25547 26846 30743 32922 37701 39618 40269 51094 61486 75402 76641 80538 92229 120807 129859 153282 184458 229923 241614 259718 276687 389577 459846 553374 779154 791957 953033 1168731 1583914 1813837 1906066 2337462 2375871 2859099 3627674 4751742 5441511 5718198 7127613 8577297 10883022 14255226 16324533 17154594 32649066 56228947 112457894 168686841 337373682 506060523 1012121046