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21023402130 = 23257313723357
BaseRepresentation
bin10011100101000101…
…111010100010010010
32000021011020111001100
4103211011322202102
5321023442332010
613354044245230
71342656653403
oct234505724222
960234214040
1021023402130
118a09187205
1240a8840816
131ca0719923
1410361a59aa
15830a212c0
hex4e517a892

21023402130 has 96 divisors (see below), whose sum is σ = 55816463664. Its totient is φ = 5488846848.

The previous prime is 21023402119. The next prime is 21023402137. The reversal of 21023402130 is 3120432012.

21023402130 is a `hidden beast` number, since 210 + 23 + 402 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14121281889 + 6902120241 = 118833^2 + 83079^2 .

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 (21023402137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888412 + ... + 911768.

Almost surely, 221023402130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21023402130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27908231832).

21023402130 is an abundant number, since it is smaller than the sum of its proper divisors (34793061534).

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

21023402130 is a wasteful number, since it uses less digits than its factorization.

21023402130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23580 (or 23577 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21023402130 its reverse (3120432012), we get a palindrome (24143834142).

The spelling of 21023402130 in words is "twenty-one billion, twenty-three million, four hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 137 146 219 274 365 411 438 657 685 730 822 1095 1233 1314 1370 2055 2190 2466 3285 4110 6165 6570 10001 12330 20002 23357 30003 46714 50005 60006 70071 90009 100010 116785 140142 150015 180018 210213 233570 300030 350355 420426 450045 700710 900090 1051065 1705061 2102130 3199909 3410122 5115183 6399818 8525305 9599727 10230366 15345549 15999545 17050610 19199454 25575915 28799181 30691098 31999090 47998635 51151830 57598362 76727745 95997270 143995905 153455490 233593357 287991810 467186714 700780071 1167966785 1401560142 2102340213 2335933570 3503900355 4204680426 7007800710 10511701065 21023402130