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21032101320 = 23356717315121
BaseRepresentation
bin10011100101100111…
…000110010111001000
32000021202121110002120
4103211213012113020
5321033204220240
613354554531240
71343123624436
oct234547062710
960252543076
1021032101320
118a1308901a
1240ab736b20
131ca2474389
1410373cbd56
1583168dad0
hex4e59c65c8

21032101320 has 128 divisors (see below), whose sum is σ = 64412461440. Its totient is φ = 5492551680.

The previous prime is 21032101303. The next prime is 21032101331. The reversal of 21032101320 is 2310123012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21032101320.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1383360 + ... + 1398480.

It is an arithmetic number, because the mean of its divisors is an integer number (503222355).

Almost surely, 221032101320 is an apocalyptic number.

21032101320 is a gapful number since it is divisible by the number (20) 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 21032101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32206230720).

21032101320 is an abundant number, since it is smaller than the sum of its proper divisors (43380360120).

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

21032101320 is a wasteful number, since it uses less digits than its factorization.

21032101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15375 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21032101320 its reverse (2310123012), we get a palindrome (23342224332).

The spelling of 21032101320 in words is "twenty-one billion, thirty-two million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 173 201 268 335 346 402 519 536 670 692 804 865 1005 1038 1340 1384 1608 1730 2010 2076 2595 2680 3460 4020 4152 5190 6920 8040 10380 11591 15121 20760 23182 30242 34773 45363 46364 57955 60484 69546 75605 90726 92728 115910 120968 139092 151210 173865 181452 226815 231820 278184 302420 347730 362904 453630 463640 604840 695460 907260 1013107 1390920 1814520 2026214 2615933 3039321 4052428 5065535 5231866 6078642 7847799 8104856 10131070 10463732 12157284 13079665 15196605 15695598 20262140 20927464 24314568 26159330 30393210 31391196 39238995 40524280 52318660 60786420 62782392 78477990 104637320 121572840 156955980 175267511 313911960 350535022 525802533 701070044 876337555 1051605066 1402140088 1752675110 2103210132 2629012665 3505350220 4206420264 5258025330 7010700440 10516050660 21032101320