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1002122011992 = 233294730634691
BaseRepresentation
bin11101001010100110010…
…00000110010101011000
310112210122121100210200210
432211103020012111120
5112404321213340432
62044211332331120
7132254342361633
oct16452310062530
93483577323623
101002122011992
11356aa7828a12
12142274773aa0
1373665ac283a
14367081c2c1a
151b102bca8cc
hexe953206558

1002122011992 has 64 divisors (see below), whose sum is σ = 2646837388800. Its totient is φ = 315659845760.

The previous prime is 1002122011987. The next prime is 1002122011993. The reversal of 1002122011992 is 2991102212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002122011993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15284634 + ... + 15350057.

It is an arithmetic number, because the mean of its divisors is an integer number (41356834200).

Almost surely, 21002122011992 is an apocalyptic number.

1002122011992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002122011992 is an abundant number, since it is smaller than the sum of its proper divisors (1644715376808).

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

1002122011992 is a wasteful number, since it uses less digits than its factorization.

1002122011992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30634776 (or 30634772 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

Adding to 1002122011992 its reverse (2991102212001), we get a palindrome (3993224223993).

The spelling of 1002122011992 in words is "one trillion, two billion, one hundred twenty-two million, eleven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 87 94 116 141 174 188 232 282 348 376 564 696 1128 1363 2726 4089 5452 8178 10904 16356 32712 30634691 61269382 91904073 122538764 183808146 245077528 367616292 735232584 888406039 1439830477 1776812078 2665218117 2879660954 3553624156 4319491431 5330436234 5759321908 7107248312 8638982862 10660872468 11518643816 17277965724 21321744936 34555931448 41755083833 83510167666 125265251499 167020335332 250530502998 334040670664 501061005996 1002122011992