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1002102210200 = 235271355060561
BaseRepresentation
bin11101001010100011111…
…00100011111010011000
310112210121020002202202002
432211101330203322120
5112404301131211300
62044205344100132
7132254012146520
oct16452174437230
93483536082662
101002102210200
11356a976335a3
1214226a004648
137366197b6c0
143670570a680
151b1010b85d5
hexe951f23e98

1002102210200 has 96 divisors (see below), whose sum is σ = 2867554068960. Its totient is φ = 317148825600.

The previous prime is 1002102210167. The next prime is 1002102210217. The reversal of 1002102210200 is 20122012001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27512081 + ... + 27548480.

It is an arithmetic number, because the mean of its divisors is an integer number (29870354885).

Almost surely, 21002102210200 is an apocalyptic number.

1002102210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002102210200 is an abundant number, since it is smaller than the sum of its proper divisors (1865451858760).

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

1002102210200 is a wasteful number, since it uses less digits than its factorization.

1002102210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55060597 (or 55060588 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002102210200 its reverse (20122012001), we get a palindrome (1022224222201).

The spelling of 1002102210200 in words is "one trillion, two billion, one hundred two million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 55060561 110121122 220242244 275302805 385423927 440484488 550605610 715787293 770847854 1101211220 1376514025 1431574586 1541695708 1927119635 2202422440 2753028050 2863149172 3083391416 3578936465 3854239270 5010511051 5506056100 5726298344 7157872930 7708478540 9635598175 10021022102 11012112200 14315745860 15416957080 17894682325 19271196350 20042044204 25052555255 28631491720 35789364650 38542392700 40084088408 50105110510 71578729300 77084785400 100210221020 125262776275 143157458600 200420442040 250525552550 501051105100 1002102210200