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20032200120 = 23355310912887
BaseRepresentation
bin10010101010000000…
…110001110110111000
31220201002010012111210
4102222000301312320
5312011220400440
613111435323120
71306262614542
oct225200616670
956632105453
1020032200120
11854a722499
123a708b04a0
131b7327016a
14d806a8692
157c39cba80
hex4aa031db8

20032200120 has 128 divisors (see below), whose sum is σ = 61307850240. Its totient is φ = 5234511360.

The previous prime is 20032200113. The next prime is 20032200161. The reversal of 20032200120 is 2100223002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20032200096 and 20032200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6937317 + ... + 6940203.

It is an arithmetic number, because the mean of its divisors is an integer number (478967580).

Almost surely, 220032200120 is an apocalyptic number.

20032200120 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 20032200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30653925120).

20032200120 is an abundant number, since it is smaller than the sum of its proper divisors (41275650120).

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

20032200120 is a wasteful number, since it uses less digits than its factorization.

20032200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20032200120 its reverse (2100223002), we get a palindrome (22132423122).

The spelling of 20032200120 in words is "twenty billion, thirty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1091 1272 1590 2120 2182 2887 3180 3273 4364 5455 5774 6360 6546 8661 8728 10910 11548 13092 14435 16365 17322 21820 23096 26184 28870 32730 34644 43305 43640 57740 57823 65460 69288 86610 115480 115646 130920 153011 173220 173469 231292 289115 306022 346440 346938 459033 462584 578230 612044 693876 765055 867345 918066 1156460 1224088 1387752 1530110 1734690 1836132 2295165 2312920 3060220 3149717 3469380 3672264 4590330 6120440 6299434 6938760 9180660 9449151 12598868 15748585 18361320 18898302 25197736 31497170 37796604 47245755 62994340 75593208 94491510 125988680 166935001 188983020 333870002 377966040 500805003 667740004 834675005 1001610006 1335480008 1669350010 2003220012 2504025015 3338700020 4006440024 5008050030 6677400040 10016100060 20032200120