Search a number
-
+
202023021212130 = 235531138423133493
BaseRepresentation
bin101101111011110100100110…
…011010100111000111100010
3222111022012201200221122200210
4231323310212122213013202
5202434421121412242010
61553400032242554550
760360452540020236
oct5573644632470742
9874265650848623
10202023021212130
1159409533821588
121a7a94b9068a56
1388958c60cb461
1437c5d75b245c6
15185513816bb20
hexb7bd266a71e2

202023021212130 has 128 divisors (see below), whose sum is σ = 498438077409792. Its totient is φ = 52381970321408.

The previous prime is 202023021212101. The next prime is 202023021212141. The reversal of 202023021212130 is 31212120320202.

It is a junction number, because it is equal to n+sod(n) for n = 202023021212097 and 202023021212106.

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, 1513293664 + ... + 1513427156.

It is an arithmetic number, because the mean of its divisors is an integer number (3894047479764).

Almost surely, 2202023021212130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202023021212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249219038704896).

202023021212130 is an abundant number, since it is smaller than the sum of its proper divisors (296415056197662).

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

202023021212130 is a wasteful number, since it uses less digits than its factorization.

202023021212130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142092.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 202023021212130 its reverse (31212120320202), we get a palindrome (233235141532332).

The spelling of 202023021212130 in words is "two hundred two trillion, twenty-three billion, twenty-one million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 113 159 226 265 318 339 530 565 678 795 1130 1590 1695 3390 5989 8423 11978 16846 17967 25269 29945 35934 42115 50538 59890 84230 89835 126345 133493 179670 252690 266986 400479 446419 667465 800958 892838 951799 1334930 1339257 1903598 2002395 2232095 2678514 2855397 4004790 4464190 4758995 5710794 6696285 7075129 9517990 13392570 14150258 14276985 15084709 21225387 28553970 30169418 35375645 42450774 45254127 50445347 70751290 75423545 90508254 100890694 106126935 150847090 151336041 212253870 226270635 252226735 302672082 452541270 504453470 756680205 799489577 1124411539 1513360410 1598979154 2248823078 2398468731 3373234617 3997447885 4796937462 5622057695 6746469234 7994895770 11244115390 11992343655 16866173085 23984687310 33732346170 59593811567 119187623134 127058503907 178781434701 254117007814 297969057835 357562869402 381175511721 595938115670 635292519535 762351023442 893907173505 1270585039070 1787814347010 1905877558605 3811755117210 6734100707071 13468201414142 20202302121213 33670503535355 40404604242426 67341007070710 101011510606065 202023021212130