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100221301232 = 24131940163241
BaseRepresentation
bin101110101010110100…
…1111011000111110000
3100120200121001121110122
41131111221323013300
53120223123114412
6114012510145412
710145402001413
oct1352551730760
9316617047418
10100221301232
113955a347a88
121750bab2268
1395b2614510
144bca5c9b7a
1529188a0572
hex1755a7b1f0

100221301232 has 80 divisors (see below), whose sum is σ = 220674105120. Its totient is φ = 43711488000.

The previous prime is 100221301207. The next prime is 100221301241. The reversal of 100221301232 is 232103122001.

It is a self number, because there is not a number n which added to its sum of digits gives 100221301232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1553132 + ... + 1616372.

It is an arithmetic number, because the mean of its divisors is an integer number (2758426314).

Almost surely, 2100221301232 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 100221301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110337052560).

100221301232 is an abundant number, since it is smaller than the sum of its proper divisors (120452803888).

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

100221301232 is a wasteful number, since it uses less digits than its factorization.

100221301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63682 (or 63676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100221301232 its reverse (232103122001), we get a palindrome (332324423233).

The spelling of 100221301232 in words is "one hundred billion, two hundred twenty-one million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 401 494 802 988 1604 1976 3208 3952 5213 6416 7619 10426 15238 20852 30476 41704 60952 63241 83408 99047 121904 126482 198094 252964 396188 505928 792376 822133 1011856 1201579 1584752 1644266 2403158 3288532 4806316 6577064 9612632 13154128 15620527 19225264 25359641 31241054 50719282 62482108 101438564 124964216 202877128 249928432 329675333 405754256 481833179 659350666 963666358 1318701332 1927332716 2637402664 3854665432 5274805328 6263831327 7709330864 12527662654 25055325308 50110650616 100221301232