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1012291248612 = 2237173037233417
BaseRepresentation
bin11101011101100010100…
…00101010000111100100
310120202220022120112211010
432232301100222013210
5113041133024423422
62053012402342220
7133064343433050
oct16566120520744
93522808515733
101012291248612
113603460239a6
1214423235a970
13745c6885a07
1436dd09dac60
151b4ea867b0c
hexebb142a1e4

1012291248612 has 96 divisors (see below), whose sum is σ = 2859187500288. Its totient is φ = 272121974784.

The previous prime is 1012291248607. The next prime is 1012291248671. The reversal of 1012291248612 is 2168421922101.

It is a super-3 number, since 3×10122912486123 (a number of 37 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4220128 + ... + 4453544.

It is an arithmetic number, because the mean of its divisors is an integer number (29783203128).

Almost surely, 21012291248612 is an apocalyptic number.

1012291248612 is a gapful number since it is divisible by the number (12) 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 1012291248612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429593750144).

1012291248612 is an abundant number, since it is smaller than the sum of its proper divisors (1846896251676).

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

1012291248612 is a wasteful number, since it uses less digits than its factorization.

1012291248612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236485 (or 236483 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 1012291248612 in words is "one trillion, twelve billion, two hundred ninety-one million, two hundred forty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 3037 6074 9111 12148 18222 21259 36444 42518 51629 63777 85036 103258 127554 154887 206516 233417 255108 309774 361403 466834 619548 700251 722806 933668 1084209 1400502 1445612 1633919 2168418 2801004 3267838 3968089 4336836 4901757 6535676 7936178 9803514 11904267 15872356 19607028 23808534 27776623 47617068 55553246 83329869 111106492 166659738 333319476 708887429 1417774858 2126662287 2835549716 4253324574 4962212003 8506649148 9924424006 12051086293 14886636009 19848848012 24102172586 29773272018 36153258879 48204345172 59546544036 72306517758 84357604051 144613035516 168715208102 253072812153 337430416204 506145624306 1012291248612