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20120222100 = 223521129320809
BaseRepresentation
bin10010101111010000…
…100011100110010100
31220221012202011222010
4102233100203212110
5312201234101400
613124302104220
71311412031436
oct225720434624
956835664863
1020120222100
118595382730
123a9627b070
131b8857b984
14d8c25c656
157cb5b7450
hex4af423994

20120222100 has 144 divisors (see below), whose sum is σ = 63726546240. Its totient is φ = 4860748800.

The previous prime is 20120222093. The next prime is 20120222131. The reversal of 20120222100 is 122202102.

It is a super-4 number, since 4×201202221004 (a number of 42 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956496 + ... + 977304.

It is an arithmetic number, because the mean of its divisors is an integer number (442545460).

Almost surely, 220120222100 is an apocalyptic number.

20120222100 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 20120222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31863273120).

20120222100 is an abundant number, since it is smaller than the sum of its proper divisors (43606324140).

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

20120222100 is a wasteful number, since it uses less digits than its factorization.

20120222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21130 (or 21123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20120222100 its reverse (122202102), we get a palindrome (20242424202).

The spelling of 20120222100 in words is "twenty billion, one hundred twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 293 300 330 550 586 660 825 879 1100 1172 1465 1650 1758 2930 3223 3300 3516 4395 5860 6446 7325 8790 9669 12892 14650 16115 17580 19338 20809 21975 29300 32230 38676 41618 43950 48345 62427 64460 80575 83236 87900 96690 104045 124854 161150 193380 208090 228899 241725 249708 312135 322300 416180 457798 483450 520225 624270 686697 915596 966900 1040450 1144495 1248540 1373394 1560675 2080900 2288990 2746788 3121350 3433485 4577980 5722475 6097037 6242700 6866970 11444950 12194074 13733940 17167425 18291111 22889900 24388148 30485185 34334850 36582222 60970370 67067407 68669700 73164444 91455555 121940740 134134814 152425925 182911110 201202221 268269628 304851850 335337035 365822220 402404442 457277775 609703700 670674070 804808884 914555550 1006011105 1341348140 1676685175 1829111100 2012022210 3353370350 4024044420 5030055525 6706740700 10060111050 20120222100