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20022010002 = 2332329587947
BaseRepresentation
bin10010101001011001…
…111010000010010010
31220200100221111022000
4102221121322002102
5312001113310002
613110433054430
71306110164001
oct225131720222
956610844260
1020022010002
1185449a2505
123a693b7416
131b71112bc7
14d7d1b4c38
157c2b6761c
hex4a967a092

20022010002 has 128 divisors (see below), whose sum is σ = 48161433600. Its totient is φ = 6146699328.

The previous prime is 20022009937. The next prime is 20022010013. The reversal of 20022010002 is 20001022002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21142093 + ... + 21143039.

It is an arithmetic number, because the mean of its divisors is an integer number (376261200).

Almost surely, 220022010002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24080716800).

20022010002 is an abundant number, since it is smaller than the sum of its proper divisors (28139423598).

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

20022010002 is a wasteful number, since it uses less digits than its factorization.

20022010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20022010002 its reverse (20001022002), we get a palindrome (40023032004).

The spelling of 20022010002 in words is "twenty billion, twenty-two million, ten thousand, two".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 87 138 174 207 261 414 522 587 621 667 783 947 1174 1242 1334 1566 1761 1894 2001 2841 3522 4002 5283 5682 6003 8523 10566 12006 13501 15849 17023 17046 18009 21781 25569 27002 27463 31698 34046 36018 40503 43562 51069 51138 54926 65343 81006 82389 102138 121509 130686 153207 164778 196029 243018 247167 306414 364527 391529 392058 459621 494334 555889 588087 631649 729054 741501 783058 919242 1111778 1174587 1176174 1263298 1483002 1667667 1894947 2349174 3335334 3523761 3789894 5003001 5684841 7047522 10006002 10571283 11369682 12785447 15009003 16120781 17054523 21142566 25570894 30018006 32241562 34109046 38356341 48362343 76712682 96724686 115069023 145087029 230138046 290174058 345207069 370777963 435261087 690414138 741555926 870522174 1112333889 2224667778 3337001667 6674003334 10011005001 20022010002