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10212301320 = 23351341159667
BaseRepresentation
bin10011000001011001…
…10101101000001000
3222100201020122210020
421200230311220020
5131403322120240
64405205020440
7511033062144
oct114054655010
928321218706
1010212301320
11437063a151
121b900b4720
13c69990960
146cc428224
153eb8470d0
hex260b35a08

10212301320 has 128 divisors (see below), whose sum is σ = 33798522240. Its totient is φ = 2452469760.

The previous prime is 10212301313. The next prime is 10212301331. The reversal of 10212301320 is 2310321201.

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 10212301320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15874 + ... + 143793.

It is an arithmetic number, because the mean of its divisors is an integer number (264050955).

Almost surely, 210212301320 is an apocalyptic number.

10212301320 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 10212301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899261120).

10212301320 is an abundant number, since it is smaller than the sum of its proper divisors (23586220920).

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

10212301320 is a wasteful number, since it uses less digits than its factorization.

10212301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159735 (or 159731 counting only the distinct ones).

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

Adding to 10212301320 its reverse (2310321201), we get a palindrome (12522622521).

The spelling of 10212301320 in words is "ten billion, two hundred twelve million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 260 312 328 390 410 492 520 533 615 780 820 984 1066 1230 1560 1599 1640 2132 2460 2665 3198 4264 4920 5330 6396 7995 10660 12792 15990 21320 31980 63960 159667 319334 479001 638668 798335 958002 1277336 1596670 1916004 2075671 2395005 3193340 3832008 4151342 4790010 6227013 6386680 6546347 8302684 9580020 10378355 12454026 13092694 16605368 19160040 19639041 20756710 24908052 26185388 31135065 32731735 39278082 41513420 49816104 52370776 62270130 65463470 78556164 83026840 85102511 98195205 124540260 130926940 157112328 170205022 196390410 249080520 255307533 261853880 340410044 392780820 425512555 510615066 680820088 785561640 851025110 1021230132 1276537665 1702050220 2042460264 2553075330 3404100440 5106150660 10212301320