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2200210202120 = 235753787188389
BaseRepresentation
bin100000000001000110101…
…111110101111000001000
321210100010102122220120012
4200001012233311320020
5242022012302431440
64402432420251052
7314650155100160
oct40010657657010
97710112586505
102200210202120
11779116332a47
122b64b9b40a88
1312c62c2a03a8
14786c284b5a0
153c374b23e65
hex20046bf5e08

2200210202120 has 128 divisors (see below), whose sum is σ = 5771787321600. Its totient is φ = 739180256256.

The previous prime is 2200210202093. The next prime is 2200210202149. The reversal of 2200210202120 is 212020120022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2200210202095 and 2200210202104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11584886 + ... + 11773274.

It is an arithmetic number, because the mean of its divisors is an integer number (45092088450).

Almost surely, 22200210202120 is an apocalyptic number.

2200210202120 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 2200210202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885893660800).

2200210202120 is an abundant number, since it is smaller than the sum of its proper divisors (3571577119480).

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

2200210202120 is a wasteful number, since it uses less digits than its factorization.

2200210202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189247 (or 189243 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2200210202120 its reverse (212020120022), we get a palindrome (2412230322142).

The spelling of 2200210202120 in words is "two trillion, two hundred billion, two hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 787 1060 1484 1574 1855 2120 2968 3148 3710 3935 5509 6296 7420 7870 11018 14840 15740 22036 27545 31480 41711 44072 55090 83422 110180 166844 188389 208555 220360 291977 333688 376778 417110 583954 753556 834220 941945 1167908 1318723 1459885 1507112 1668440 1883890 2335816 2637446 2919770 3767780 5274892 5839540 6593615 7535560 9984617 10549784 11679080 13187230 19969234 26374460 39938468 49923085 52748920 69892319 79876936 99846170 139784638 148262143 199692340 279569276 296524286 349461595 399384680 559138552 593048572 698923190 741310715 1037835001 1186097144 1397846380 1482621430 2075670002 2795692760 2965242860 4151340004 5189175005 5930485720 7857893579 8302680008 10378350010 15715787158 20756700020 31431574316 39289467895 41513400040 55005255053 62863148632 78578935790 110010510106 157157871580 220021020212 275026275265 314315743160 440042040424 550052550530 1100105101060 2200210202120