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21220110120 = 23351173220217
BaseRepresentation
bin10011110000110100…
…010010111100101000
32000202212101021200110
4103300310102330220
5321424322010440
613425352334320
71350565650156
oct236064227450
960685337613
1021220110120
118aaa2208a0
1241426a43a0
1320023c06a1
14105436c3d6
15842e2a080
hex4f0d12f28

21220110120 has 128 divisors (see below), whose sum is σ = 70399290240. Its totient is φ = 5073776640.

The previous prime is 21220110113. The next prime is 21220110137. The reversal of 21220110120 is 2101102212.

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 = 21220110096 and 21220110105.

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, 13749 + ... + 206468.

It is an arithmetic number, because the mean of its divisors is an integer number (549994455).

Almost surely, 221220110120 is an apocalyptic number.

21220110120 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 21220110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35199645120).

21220110120 is an abundant number, since it is smaller than the sum of its proper divisors (49179180120).

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

21220110120 is a wasteful number, since it uses less digits than its factorization.

21220110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220315 (or 220311 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21220110120 its reverse (2101102212), we get a palindrome (23321212332).

The spelling of 21220110120 in words is "twenty-one billion, two hundred twenty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2920 3212 4015 4380 4818 6424 8030 8760 9636 12045 16060 19272 24090 32120 48180 96360 220217 440434 660651 880868 1101085 1321302 1761736 2202170 2422387 2642604 3303255 4404340 4844774 5285208 6606510 7267161 8808680 9689548 12111935 13213020 14534322 16075841 19379096 24223870 26426040 29068644 32151682 36335805 48227523 48447740 58137288 64303364 72671610 80379205 96455046 96895480 128606728 145343220 160758410 176834251 192910092 241137615 290686440 321516820 353668502 385820184 482275230 530502753 643033640 707337004 884171255 964550460 1061005506 1414674008 1768342510 1929100920 2122011012 2652513765 3536685020 4244022024 5305027530 7073370040 10610055060 21220110120