Search a number
-
+
201002012233170 = 235191278543325021
BaseRepresentation
bin101101101100111101101101…
…100010011100110111010010
3222100200121022211102112000220
4231230331231202130313102
5202321204110112430140
61551255014421053510
760223626145625541
oct5554755542346722
9870617284375026
10201002012233170
1159055524880865
121a663653257296
1388205403c5c25
14378c7993cc158
1518387cc2d2bd0
hexb6cf6d89cdd2

201002012233170 has 128 divisors (see below), whose sum is σ = 511854422261760. Its totient is φ = 50373565320960.

The previous prime is 201002012233147. The next prime is 201002012233171. The reversal of 201002012233170 is 71332210200102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 201002012233170.

It is not an unprimeable number, because it can be changed into a prime (201002012233171) 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, 618265260 + ... + 618590280.

It is an arithmetic number, because the mean of its divisors is an integer number (3998862673920).

Almost surely, 2201002012233170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002012233170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255927211130880).

201002012233170 is an abundant number, since it is smaller than the sum of its proper divisors (310852410028590).

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

201002012233170 is a wasteful number, since it uses less digits than its factorization.

201002012233170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333720.

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 201002012233170 its reverse (71332210200102), we get a palindrome (272334222433272).

The spelling of 201002012233170 in words is "two hundred one trillion, two billion, twelve million, two hundred thirty-three thousand, one hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 127 190 254 285 381 570 635 762 1270 1905 2413 3810 4826 7239 8543 12065 14478 17086 24130 25629 36195 42715 51258 72390 85430 128145 162317 256290 324634 325021 486951 650042 811585 973902 975063 1084961 1623170 1625105 1950126 2169922 2434755 3250210 3254883 4869510 4875315 5424805 6175399 6509766 9750630 10849610 12350798 16274415 18526197 20614259 30876995 32548830 37052394 41228518 41277667 61753990 61842777 82555334 92630985 103071295 123685554 123833001 185261970 206142590 206388335 247666002 309213885 412776670 618427770 619165005 784275673 1238330010 1568551346 2352827019 2776654403 3921378365 4705654038 5553308806 7842756730 8329963209 11764135095 13883272015 16659926418 23528270190 27766544030 41649816045 52756433657 83299632090 105512867314 158269300971 263782168285 316538601942 352635109181 527564336570 705270218362 791346504855 1057905327543 1582693009710 1763175545905 2115810655086 3526351091810 5289526637715 6700067074439 10579053275430 13400134148878 20100201223317 33500335372195 40200402446634 67000670744390 100501006116585 201002012233170