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20020002223100 = 225211419125934501
BaseRepresentation
bin1001000110101010001010…
…00111101111001111111100
32121212220010101011201102112
410203111011013233033330
510111001431032114400
6110325021223113152
74134253214065055
oct443250507571774
977786111151375
1020020002223100
116419487375330
1222b40162a27b8
13b22b552894c9
144d2d8a96172c
1524ab75de0835
hex1235451ef3fc

20020002223100 has 144 divisors (see below), whose sum is σ = 47545025673600. Its totient is φ = 7256647200000.

The previous prime is 20020002223097. The next prime is 20020002223103. The reversal of 20020002223100 is 132220002002.

It is an interprime number because it is at equal distance from previous prime (20020002223097) and next prime (20020002223103).

It is a super-2 number, since 2×200200022231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020002223103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580255850 + ... + 580290350.

It is an arithmetic number, because the mean of its divisors is an integer number (330173789400).

Almost surely, 220020002223100 is an apocalyptic number.

20020002223100 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 20020002223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23772512836800).

20020002223100 is an abundant number, since it is smaller than the sum of its proper divisors (27525023450500).

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

20020002223100 is a wasteful number, since it uses less digits than its factorization.

20020002223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36204 (or 36197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20020002223100 its reverse (132220002002), we get a palindrome (20152222225102).

The spelling of 20020002223100 in words is "twenty trillion, twenty billion, two million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 419 550 838 1100 1259 1676 2095 2518 4190 4609 5036 6295 8380 9218 10475 12590 13849 18436 20950 23045 25180 27698 31475 34501 41900 46090 55396 62950 69002 69245 92180 115225 125900 138004 138490 172505 230450 276980 345010 346225 379511 460900 527521 690020 692450 759022 862525 1055042 1384900 1518044 1725050 1897555 2110084 2637605 3450100 3795110 5275210 5802731 7590220 9487775 10550420 11605462 13188025 14455919 18975550 23210924 26376050 28911838 29013655 37951100 43436759 52752100 57823676 58027310 72279595 86873518 116054620 144559190 145068275 159015109 173747036 217183795 289118380 290136550 318030218 361397975 434367590 477804349 580273100 636060436 722795950 795075545 868735180 955608698 1085918975 1445591900 1590151090 1911217396 2171837950 2389021745 3180302180 3975377725 4343675900 4778043490 7950755450 9556086980 11945108725 15901510900 18200002021 23890217450 36400004042 47780434900 72800008084 91000010105 182000020210 200200022231 364000040420 400400044462 455000050525 800800088924 910000101050 1001000111155 1820000202100 2002000222310 4004000444620 5005000555775 10010001111550 20020002223100