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100021012252 = 227217210117483
BaseRepresentation
bin101110100100110110…
…1111000011100011100
3100120011122011212122021
41131021231320130130
53114320334343002
6113540553225524
710140420401500
oct1351155703434
9316148155567
10100021012252
11394672879a7
1217474a022a4
13957cc88825
144babb70300
152905eda737
hex1749b7871c

100021012252 has 108 divisors (see below), whose sum is σ = 218450096424. Its totient is φ = 39942873600.

The previous prime is 100021012207. The next prime is 100021012253. The reversal of 100021012252 is 252210120001.

It is a happy number.

It is a super-2 number, since 2×1000210122522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021012253) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5712303 + ... + 5729785.

It is an arithmetic number, because the mean of its divisors is an integer number (2022686078).

Almost surely, 2100021012252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021012252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109225048212).

100021012252 is an abundant number, since it is smaller than the sum of its proper divisors (118429084172).

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

100021012252 is a wasteful number, since it uses less digits than its factorization.

100021012252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17636 (or 17610 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 100021012252 its reverse (252210120001), we get a palindrome (352231132253).

The spelling of 100021012252 in words is "one hundred billion, twenty-one million, twelve thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 101 119 196 202 238 289 404 476 578 707 833 1156 1414 1666 1717 2023 2828 3332 3434 4046 4949 6868 8092 9898 12019 14161 17483 19796 24038 28322 29189 34966 48076 56644 58378 69932 84133 116756 122381 168266 204323 244762 297211 336532 408646 489524 594422 817292 856667 1188844 1430261 1713334 1765783 2080477 2860522 3426668 3531566 4160954 5052587 5721044 7063132 8321908 10105174 12360481 14563339 20210348 24720962 29126678 30018311 35368109 49441924 58253356 60036622 70736218 86523367 120073244 141472436 173046734 210128177 247576763 346093468 420256354 495153526 510311287 840512708 990307052 1020622574 1470897239 2041245148 2941794478 3572179009 5883588956 7144358018 14288716036 25005253063 50010506126 100021012252