Search a number
-
+
1002010221102 = 231119250383609
BaseRepresentation
bin11101001010011000111…
…01101001101000101110
310112210100211000020102110
432211030131221220232
5112404104104033402
62044152300304450
7132251514230652
oct16451435515056
93483324006373
101002010221102
11356a4a713850
12142243242126
13736488b1297
14366d7402a62
151b0e7e9756c
hexe94c769a2e

1002010221102 has 96 divisors (see below), whose sum is σ = 2311938236160. Its totient is φ = 287083117440.

The previous prime is 1002010221097. The next prime is 1002010221103. The reversal of 1002010221102 is 2011220102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002010221103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11942674 + ... + 12026282.

It is an arithmetic number, because the mean of its divisors is an integer number (24082689960).

Almost surely, 21002010221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002010221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155969118080).

1002010221102 is an abundant number, since it is smaller than the sum of its proper divisors (1309928015058).

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

1002010221102 is a wasteful number, since it uses less digits than its factorization.

1002010221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84166 (or 84147 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002010221102 its reverse (2011220102001), we get a palindrome (3013230323103).

The spelling of 1002010221102 in words is "one trillion, two billion, ten million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 418 503 627 722 1006 1083 1254 1509 2166 3018 3971 5533 7942 9557 11066 11913 16599 19114 23826 28671 33198 57342 83609 105127 167218 181583 210254 250827 315381 363166 501654 544749 630762 919699 1089498 1588571 1839398 1997413 2759097 3177142 3994826 4765713 5518194 5992239 9531426 11984478 17474281 30182849 34948562 42055327 52422843 60365698 84110654 90548547 104845686 126165981 181097094 252331962 332011339 462608597 664022678 799051213 925217194 996034017 1387825791 1598102426 1992068034 2397153639 2775651582 4794307278 8789563343 15181973047 17579126686 26368690029 30363946094 45545919141 52737380058 91091838282 167001703517 334003407034 501005110551 1002010221102