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202012001022 = 2313311012393461
BaseRepresentation
bin1011110000100011011…
…0101000001011111110
3201022102120012221000210
42330020312220023332
511302210033013042
6232445242133250
720411021451126
oct2741066501376
9638376187023
10202012001022
1178744565367
12331994b1226
1316085108b20
149ac53c1c86
1553c4e07a9c
hex2f08da82fe

202012001022 has 128 divisors (see below), whose sum is σ = 455614709760. Its totient is φ = 59290560000.

The previous prime is 202012000969. The next prime is 202012001027. The reversal of 202012001022 is 220100210202.

It is a junction number, because it is equal to n+sod(n) for n = 202012000989 and 202012001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012001027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58366372 + ... + 58369832.

It is an arithmetic number, because the mean of its divisors is an integer number (3559489920).

Almost surely, 2202012001022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202012001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227807354880).

202012001022 is an abundant number, since it is smaller than the sum of its proper divisors (253602708738).

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

202012001022 is a wasteful number, since it uses less digits than its factorization.

202012001022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850.

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

Adding to 202012001022 its reverse (220100210202), we get a palindrome (422112211224).

The spelling of 202012001022 in words is "two hundred two billion, twelve million, one thousand, twenty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 101 186 202 239 303 403 478 606 717 806 1209 1313 1434 2418 2626 3107 3131 3461 3939 6214 6262 6922 7409 7878 9321 9393 10383 14818 18642 18786 20766 22227 24139 40703 44454 44993 48278 72417 81406 89986 96317 107291 122109 134979 144834 192634 214582 244218 269958 288951 313807 321873 349561 577902 627614 643746 699122 748309 827179 941421 1048683 1394783 1496618 1654358 1882842 2097366 2244927 2481537 2789566 4184349 4489854 4544293 4963074 8368698 9088586 9728017 10753327 10836391 13632879 19456034 21506654 21672782 25642549 27265758 29184051 32259981 32509173 51285098 58368102 64519962 65018346 76927647 83545079 140873083 153855294 167090158 250635237 281746166 333353137 422619249 501270474 666706274 845238498 1000059411 1086086027 2000118822 2172172054 2589897449 3258258081 5179794898 6516516162 7769692347 15539384694 33668666837 67337333674 101006000511 202012001022