Search a number
-
+
202022201001012 = 22373498061185487
BaseRepresentation
bin101101111011110011110101…
…100001110000010000110100
3222111022010121112120121120020
4231323303311201300100310
5202434412431424013022
61553355415023005140
760360423320235210
oct5573636541602064
9874263545517506
10202022201001012
1159409152836857
121a7a930a4397b0
1388957c51c0032
1437c5cd8c17940
1518550db15135c
hexb7bcf5870434

202022201001012 has 96 divisors (see below), whose sum is σ = 540282518630400. Its totient is φ = 57553852993920.

The previous prime is 202022201001001. The next prime is 202022201001013. The reversal of 202022201001012 is 210100102220202.

It is a junction number, because it is equal to n+sod(n) for n = 202022201000982 and 202022201001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202022201001013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2363149333 + ... + 2363234819.

It is an arithmetic number, because the mean of its divisors is an integer number (5627942902400).

Almost surely, 2202022201001012 is an apocalyptic number.

It is an amenable number.

202022201001012 is an abundant number, since it is smaller than the sum of its proper divisors (338260317629388).

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

202022201001012 is a wasteful number, since it uses less digits than its factorization.

202022201001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166461 (or 166459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202022201001012 its reverse (210100102220202), we get a palindrome (412122303221214).

The spelling of 202022201001012 in words is "two hundred two trillion, twenty-two billion, two hundred one million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 349 698 1047 1396 2094 2443 4188 4886 7329 9772 14658 29316 80611 85487 161222 170974 241833 256461 322444 341948 483666 512922 564277 598409 967332 1025844 1128554 1196818 1692831 1795227 2257108 2393636 3385662 3590454 6771324 7180908 28133239 29834963 56266478 59669926 84399717 89504889 112532956 119339852 168799434 179009778 196932673 208844741 337598868 358019556 393865346 417689482 590798019 626534223 787730692 835378964 1181596038 1253068446 2363192076 2506136892 6891192557 13782385114 20673577671 27564770228 41347155342 48238347899 82694310684 96476695798 144715043697 192953391596 289430087394 578860174788 2405026202393 4810052404786 7215078607179 9620104809572 14430157214358 16835183416751 28860314428716 33670366833502 50505550250253 67340733667004 101011100500506 202022201001012