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1021032012132 = 22321121713788041
BaseRepresentation
bin11101101101110100100…
…00000001100101100100
310121121110110212100020100
432312322100001211210
5113212033143342012
62101020003304100
7133524060622446
oct16667220014544
93547413770210
101021032012132
11364020a52a00
12145a7167b030
137538a70b432
14375bd810496
151b85cdd88dc
hexedba401964

1021032012132 has 108 divisors (see below), whose sum is σ = 3003780101868. Its totient is φ = 291203404800.

The previous prime is 1021032012101. The next prime is 1021032012139. The reversal of 1021032012132 is 2312102301201.

1021032012132 is a `hidden beast` number, since 1 + 0 + 210 + 320 + 1 + 2 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 635234504256 + 385797507876 = 797016^2 + 621126^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1021032012139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6819969 + ... + 6968072.

It is an arithmetic number, because the mean of its divisors is an integer number (27812778721).

Almost surely, 21021032012132 is an apocalyptic number.

1021032012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021032012132 is an abundant number, since it is smaller than the sum of its proper divisors (1982748089736).

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

1021032012132 is a wasteful number, since it uses less digits than its factorization.

1021032012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13788090 (or 13788074 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1021032012132 its reverse (2312102301201), we get a palindrome (3333134313333).

The spelling of 1021032012132 in words is "one trillion, twenty-one billion, thirty-two million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1683 2057 2178 2244 3366 4114 4356 6171 6732 8228 12342 18513 24684 37026 74052 13788041 27576082 41364123 55152164 82728246 124092369 151668451 165456492 234396697 248184738 303336902 455005353 468793394 496369476 606673804 703190091 910010706 937586788 1365016059 1406380182 1668352961 1820021412 2109570273 2578363667 2730032118 2812760364 3336705922 4219140546 5005058883 5156727334 5460064236 6673411844 7735091001 8438281092 10010117766 10313454668 15015176649 15470182002 20020235532 23205273003 28362000337 30030353298 30940364004 46410546006 56724000674 60060706596 85086001011 92821092012 113448001348 170172002022 255258003033 340344004044 510516006066 1021032012132