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100120211200 = 285219823357
BaseRepresentation
bin101110100111110100…
…0010010111100000000
3100120102112211201000101
41131033220102330000
53120021233224300
6113554455332144
710143033516322
oct1351750227400
9316375751011
10100120211200
11395082815a9
12174a2081054
1395976ab829
144bbadd3612
15290ea82b6a
hex174fa12f00

100120211200 has 108 divisors (see below), whose sum is σ = 260856281560. Its totient is φ = 37940244480.

The previous prime is 100120211083. The next prime is 100120211227. The reversal of 100120211200 is 2112021001.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290079 + ... + 533278.

Almost surely, 2100120211200 is an apocalyptic number.

100120211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120211200 is an abundant number, since it is smaller than the sum of its proper divisors (160736070360).

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

100120211200 is an equidigital number, since it uses as much as digits as its factorization.

100120211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823402 (or 823383 counting only the distinct ones).

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

Adding to 100120211200 its reverse (2112021001), we get a palindrome (102232232201).

The spelling of 100120211200 in words is "one hundred billion, one hundred twenty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 608 640 760 800 950 1216 1280 1520 1600 1900 2432 3040 3200 3800 4864 6080 6400 7600 12160 15200 24320 30400 60800 121600 823357 1646714 3293428 4116785 6586856 8233570 13173712 15643783 16467140 20583925 26347424 31287566 32934280 41167850 52694848 62575132 65868560 78218915 82335700 105389696 125150264 131737120 156437830 164671400 210779392 250300528 263474240 312875660 329342800 391094575 500601056 526948480 625751320 658685600 782189150 1001202112 1053896960 1251502640 1317371200 1564378300 2002404224 2503005280 2634742400 3128756600 4004808448 5006010560 5269484800 6257513200 10012021120 12515026400 20024042240 25030052800 50060105600 100120211200