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20021001220 = 225112531391123
BaseRepresentation
bin10010101001010110…
…000011110000000100
31220200022001020111201
4102221112003300010
5312000334014340
613110355312244
71306065462643
oct225126036004
956608036451
1020021001220
118544373600
123a68bab684
131b70b4b9ac
14d7cdd135a
157c2a1879a
hex4a9583c04

20021001220 has 144 divisors (see below), whose sum is σ = 47466699840. Its totient is φ = 7085295360.

The previous prime is 20021001193. The next prime is 20021001229. The reversal of 20021001220 is 2210012002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20021001197 and 20021001206.

It is not an unprimeable number, because it can be changed into a prime (20021001229) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17827579 + ... + 17828701.

It is an arithmetic number, because the mean of its divisors is an integer number (329629860).

Almost surely, 220021001220 is an apocalyptic number.

20021001220 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 20021001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23733349920).

20021001220 is an abundant number, since it is smaller than the sum of its proper divisors (27445698620).

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

20021001220 is a wasteful number, since it uses less digits than its factorization.

20021001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20021001220 its reverse (2210012002), we get a palindrome (22231013222).

The spelling of 20021001220 in words is "twenty billion, twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 121 139 212 220 242 265 278 484 530 556 583 605 695 1060 1123 1166 1210 1390 1529 2246 2332 2420 2780 2915 3058 4492 5615 5830 6116 6413 7367 7645 11230 11660 12353 12826 14734 15290 16819 22460 24706 25652 29468 30580 32065 33638 36835 49412 59519 61765 64130 67276 73670 81037 84095 119038 123530 128260 135883 147340 156097 162074 168190 238076 247060 271766 297595 312194 324148 336380 405185 543532 595190 624388 654709 679415 780485 810370 891407 1190380 1309418 1358830 1560970 1620740 1717067 1782814 2618836 2717660 3121940 3273545 3434134 3565628 4457035 6547090 6868268 7201799 8273141 8585335 8914070 13094180 14403598 16546282 17170670 17828140 18887737 28807196 33092564 34341340 36008995 37775474 41365705 72017990 75550948 82731410 91004551 94438685 144035980 165462820 182009102 188877370 364018204 377754740 455022755 910045510 1001050061 1820091020 2002100122 4004200244 5005250305 10010500610 20021001220