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11210102200 = 23521131164371
BaseRepresentation
bin10100111000010110…
…01001010110111000
31001221020210012021101
422130023021112320
5140424241232300
65052211221144
7544540203463
oct123413112670
931836705241
1011210102200
1148328a0780
12220a2a77b4
13109860ab8b
14784b622da
15459241b6a
hex29c2c95b8

11210102200 has 96 divisors (see below), whose sum is σ = 29350264320. Its totient is φ = 3944880000.

The previous prime is 11210102177. The next prime is 11210102213. The reversal of 11210102200 is 220101211.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 13986 + ... + 150385.

It is an arithmetic number, because the mean of its divisors is an integer number (305731920).

Almost surely, 211210102200 is an apocalyptic number.

11210102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14675132160).

11210102200 is an abundant number, since it is smaller than the sum of its proper divisors (18140162120).

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

11210102200 is a wasteful number, since it uses less digits than its factorization.

11210102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164429 (or 164420 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11210102200 its reverse (220101211), we get a palindrome (11430203411).

The spelling of 11210102200 in words is "eleven billion, two hundred ten million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 2200 2728 3100 3410 6200 6820 8525 13640 17050 34100 68200 164371 328742 657484 821855 1314968 1643710 1808081 3287420 3616162 4109275 5095501 6574840 7232324 8218550 9040405 10191002 14464648 16437100 18080810 20382004 25477505 32874200 36161620 40764008 45202025 50955010 56050511 72323240 90404050 101910020 112101022 127387525 180808100 203820040 224202044 254775050 280252555 361616200 448404088 509550100 560505110 1019100200 1121010220 1401262775 2242020440 2802525550 5605051100 11210102200