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22010301030 = 23517234873853
BaseRepresentation
bin10100011111111010…
…101000101001100110
32002210221021010211110
4110133322220221212
5330034114113110
614040021045450
71406302320564
oct243772505146
962727233743
1022010301030
119375271a33
124323256886
1320ca01a883
1410cb2a2a34
1588c4b5a20
hex51fea8a66

22010301030 has 128 divisors (see below), whose sum is σ = 58498910208. Its totient is φ = 5271754752.

The previous prime is 22010300999. The next prime is 22010301031. The reversal of 22010301030 is 3010301022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22010300997 and 22010301015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010301031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5710584 + ... + 5714436.

It is an arithmetic number, because the mean of its divisors is an integer number (457022736).

Almost surely, 222010301030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010301030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29249455104).

22010301030 is an abundant number, since it is smaller than the sum of its proper divisors (36488609178).

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

22010301030 is a wasteful number, since it uses less digits than its factorization.

22010301030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 22010301030 its reverse (3010301022), we get a palindrome (25020602052).

The spelling of 22010301030 in words is "twenty-two billion, ten million, three hundred one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 487 510 690 782 974 1173 1461 1955 2346 2435 2922 3853 3910 4870 5865 7305 7706 8279 11201 11559 11730 14610 16558 19265 22402 23118 24837 33603 38530 41395 49674 56005 57795 65501 67206 82790 88619 112010 115590 124185 131002 168015 177238 190417 196503 248370 265857 327505 336030 380834 393006 443095 531714 571251 655010 886190 952085 982515 1142502 1329285 1506523 1876411 1904170 1965030 2658570 2856255 3013046 3752822 4519569 5629233 5712510 7532615 9039138 9382055 11258466 15065230 18764110 22597845 28146165 31898987 43157453 45195690 56292330 63797974 86314906 95696961 129472359 159494935 191393922 215787265 258944718 318989870 431574530 478484805 647361795 733676701 956969610 1294723590 1467353402 2201030103 3668383505 4402060206 7336767010 11005150515 22010301030