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1020000021222 = 237137138368699
BaseRepresentation
bin11101101011111001011…
…11010010101011100110
310121111210112222202211210
432311330233102223212
5113202430001134342
62100325340212250
7133456360061550
oct16657457225346
93544715882753
101020000021222
11363641469956
12145823b3a086
1375254980020
14375227364d0
151b7ec4d879c
hexed7cbd2ae6

1020000021222 has 128 divisors (see below), whose sum is σ = 2552817254400. Its totient is φ = 264525770880.

The previous prime is 1020000021169. The next prime is 1020000021247. The reversal of 1020000021222 is 2221200000201.

It is a super-3 number, since 3×10200000212223 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020000021198 and 1020000021207.

It is a congruent number.

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, 14813029 + ... + 14881727.

It is an arithmetic number, because the mean of its divisors is an integer number (19943884800).

Almost surely, 21020000021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020000021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276408627200).

1020000021222 is an abundant number, since it is smaller than the sum of its proper divisors (1532817233178).

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

1020000021222 is a wasteful number, since it uses less digits than its factorization.

1020000021222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69178.

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

Adding to 1020000021222 its reverse (2221200000201), we get a palindrome (3241200021423).

The spelling of 1020000021222 in words is "one trillion, twenty billion, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 71 78 91 142 182 213 273 383 426 497 546 766 923 994 1149 1491 1846 2298 2681 2769 2982 4979 5362 5538 6461 8043 9958 12922 14937 16086 19383 27193 29874 34853 38766 54386 68699 69706 81579 104559 137398 163158 190351 206097 209118 353509 380702 412194 480893 571053 707018 893087 961786 1060527 1142106 1442679 1786174 2121054 2474563 2679261 2885358 4877629 4949126 5358522 6251609 7423689 9755258 12503218 14632887 14847378 18754827 26311717 29265774 34143403 37509654 52623434 63409177 68286806 78935151 102430209 126818354 157870302 184182019 190227531 204860418 342052321 368364038 380455062 443864239 552546057 684104642 887728478 1026156963 1105092114 1331592717 1868131907 2052313926 2394366247 2663185434 3736263814 4788732494 5604395721 7183098741 11208791442 13076923349 14366197482 24285714791 26153846698 39230770047 48571429582 72857144373 78461540094 145714288746 170000003537 340000007074 510000010611 1020000021222