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1002310021044 = 223331311962623
BaseRepresentation
bin11101001010111100101…
…01010010111110110100
310112211010201010122122000
432211132111102332310
5112410212331133134
62044242130135300
7132262114415163
oct16453625227664
93484121118560
101002310021044
113570939709a2
12142307721530
1373695a3bcb7
14367251633da
151b114466e99
hexe95e552fb4

1002310021044 has 96 divisors (see below), whose sum is σ = 2691034644480. Its totient is φ = 322285845600.

The previous prime is 1002310021007. The next prime is 1002310021049. The reversal of 1002310021044 is 4401200132001.

1002310021044 is a `hidden beast` number, since 100 + 2 + 310 + 0 + 210 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002310021049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559917 + ... + 1522539.

It is an arithmetic number, because the mean of its divisors is an integer number (28031610880).

Almost surely, 21002310021044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002310021044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345517322240).

1002310021044 is an abundant number, since it is smaller than the sum of its proper divisors (1688724623436).

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

1002310021044 is a wasteful number, since it uses less digits than its factorization.

1002310021044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962978 (or 962970 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1002310021044 its reverse (4401200132001), we get a palindrome (5403510153045).

The spelling of 1002310021044 in words is "one trillion, two billion, three hundred ten million, twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 311 372 558 622 837 933 1116 1244 1674 1866 2799 3348 3732 5598 8397 9641 11196 16794 19282 28923 33588 38564 57846 86769 115692 173538 260307 347076 520614 962623 1041228 1925246 2887869 3850492 5775738 8663607 11551476 17327214 25990821 29841313 34654428 51981642 59682626 89523939 103963284 119365252 179047878 268571817 299375753 358095756 537143634 598751506 805715451 898127259 1074287268 1197503012 1611430902 1796254518 2694381777 3222861804 3592509036 5388763554 8083145331 9280648343 10777527108 16166290662 18561296686 27841945029 32332581324 37122593372 55683890058 83525835087 111367780116 167051670174 250577505261 334103340348 501155010522 1002310021044