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3121232220 = 22325191575813
BaseRepresentation
bin1011101000001010…
…0011100101011100
322001112011000200100
42322002203211130
522343013412340
61233414501100
7140230015251
oct27202434534
98045130610
103121232220
111361943a67
12731364790
133a9850292
14218763428
1513403e830
hexba0a395c

3121232220 has 144 divisors (see below), whose sum is σ = 10031243040. Its totient is φ = 783364608.

The previous prime is 3121232203. The next prime is 3121232221. The reversal of 3121232220 is 222321213.

3121232220 is a `hidden beast` number, since 312 + 12 + 322 + 20 = 666.

It is a super-2 number, since 2×31212322202 = 19484181142332256800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3121232193 and 3121232202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121232221) 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, 534034 + ... + 539846.

It is an arithmetic number, because the mean of its divisors is an integer number (69661410).

Almost surely, 23121232220 is an apocalyptic number.

3121232220 is a gapful number since it is divisible by the number (30) 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 3121232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015621520).

3121232220 is an abundant number, since it is smaller than the sum of its proper divisors (6910010820).

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

3121232220 is a wasteful number, since it uses less digits than its factorization.

3121232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 5999 counting only the distinct ones).

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

The square root of 3121232220 is about 55867.9892245998. The cubic root of 3121232220 is about 1461.4210565071.

Adding to 3121232220 its reverse (222321213), we get a palindrome (3343553433).

The spelling of 3121232220 in words is "three billion, one hundred twenty-one million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 157 171 180 190 228 285 314 342 380 471 570 628 684 785 855 942 1140 1413 1570 1710 1884 2355 2826 2983 3140 3420 4710 5652 5813 5966 7065 8949 9420 11626 11932 14130 14915 17439 17898 23252 26847 28260 29065 29830 34878 35796 44745 52317 53694 58130 59660 69756 87195 89490 104634 107388 110447 116260 134235 174390 178980 209268 220894 261585 268470 331341 348780 441788 523170 536940 552235 662682 912641 994023 1046340 1104470 1325364 1656705 1825282 1988046 2208940 2737923 3313410 3650564 3976092 4563205 4970115 5475846 6626820 8213769 9126410 9940230 10951692 13689615 16427538 17340179 18252820 19880460 27379230 32855076 34680358 41068845 52020537 54758460 69360716 82137690 86700895 104041074 156061611 164275380 173401790 208082148 260102685 312123222 346803580 520205370 624246444 780308055 1040410740 1560616110 3121232220