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1300021032320 = 27521126213673
BaseRepresentation
bin10010111010101111010…
…010101011010110000000
311121021120200221000010222
4102322233102223112000
5132244420341013240
62433115454242212
7162631506310163
oct22725722532600
94537520830128
101300021032320
11461376a8807a
1218bb524b6368
139578c57c6ba
1446cc82a1ada
1523c3abcbeb5
hex12eaf4ab580

1300021032320 has 128 divisors (see below), whose sum is σ = 3124633834080. Its totient is φ = 517205606400.

The previous prime is 1300021032313. The next prime is 1300021032341. The reversal of 1300021032320 is 232301200031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353938004 + ... + 353941676.

Almost surely, 21300021032320 is an apocalyptic number.

1300021032320 is a gapful number since it is divisible by the number (10) 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 1300021032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562316917040).

1300021032320 is an abundant number, since it is smaller than the sum of its proper divisors (1824612801760).

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

1300021032320 is a wasteful number, since it uses less digits than its factorization.

1300021032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1300021032320 its reverse (232301200031), we get a palindrome (1532322232351).

The spelling of 1300021032320 in words is "one trillion, three hundred billion, twenty-one million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 320 422 640 844 1055 1688 2110 2621 3376 3673 4220 5242 6752 7346 8440 10484 13105 13504 14692 16880 18365 20968 26210 27008 29384 33760 36730 41936 52420 58768 67520 73460 83872 104840 117536 135040 146920 167744 209680 235072 293840 335488 419360 470144 553031 587680 775003 838720 1106062 1175360 1550006 1677440 2212124 2350720 2765155 3100012 3875015 4424248 5530310 6200024 7750030 8848496 9626933 11060620 12400048 15500060 17696992 19253866 22121240 24800096 31000120 35393984 38507732 44242480 48134665 49600192 62000240 70787968 77015464 88484960 96269330 99200384 124000480 154030928 176969920 192538660 248000960 308061856 353939840 385077320 496001920 616123712 770154640 1232247424 1540309280 2031282863 3080618560 4062565726 6161237120 8125131452 10156414315 16250262904 20312828630 32500525808 40625657260 65001051616 81251314520 130002103232 162502629040 260004206464 325005258080 650010516160 1300021032320