Search a number
-
+
100022012220200 = 23527209371341233
BaseRepresentation
bin10110101111100000110000…
…100000100001001100101000
3111010011000022000012011201112
4112233200300200201030220
5101102230040112021300
6552421251133005452
730032231464005320
oct2657406040411450
9433130260164645
10100022012220200
1129963108369aa4
12b274b29623888
1343a705c686205
141a9b13c454280
15b86c07013e35
hex5af830821328

100022012220200 has 96 divisors (see below), whose sum is σ = 265774823578560. Its totient is φ = 34292997043200.

The previous prime is 100022012220157. The next prime is 100022012220209. The reversal of 100022012220200 is 2022210220001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100022012220209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292948784 + ... + 293290016.

It is an arithmetic number, because the mean of its divisors is an integer number (2768487745610).

Almost surely, 2100022012220200 is an apocalyptic number.

100022012220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022012220200 is an abundant number, since it is smaller than the sum of its proper divisors (165752811358360).

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

100022012220200 is a wasteful number, since it uses less digits than its factorization.

100022012220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550627 (or 550618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100022012220200 its reverse (2022210220001), we get a palindrome (102044222440201).

The spelling of 100022012220200 in words is "one hundred trillion, twenty-two billion, twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 209371 341233 418742 682466 837484 1046855 1364932 1465597 1674968 1706165 2093710 2388631 2729864 2931194 3412330 4187420 4777262 5234275 5862388 6824660 7327985 8374840 8530825 9554524 10468550 11724776 11943155 13649320 14655970 17061650 19109048 20937100 23886310 29311940 34123300 36639925 41874200 47772620 58623880 59715775 68246600 73279850 95545240 119431550 146559700 238863100 293119400 477726200 71444294443 142888588886 285777177772 357221472215 500110061101 571554355544 714442944430 1000220122202 1428885888860 1786107361075 2000440244404 2500550305505 2857771777720 3572214722150 4000880488808 5001100611010 7144429444300 10002201222020 12502751527525 14288858888600 20004402444040 25005503055050 50011006110100 100022012220200