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101220110212200 = 23352724100026241
BaseRepresentation
bin10111000000111100100100…
…101101101001110001101000
3111021101112210111221021020020
4113000330210231221301220
5101231342241203242300
6555135513211000440
730214624455626460
oct2700744455516150
9437345714837206
10101220110212200
112a285231459351
12b429176139120
134463027bb63a5
141add118110ba0
15ba7e79c468a0
hex5c0f24b69c68

101220110212200 has 96 divisors (see below), whose sum is σ = 358608390480960. Its totient is φ = 23136025190400.

The previous prime is 101220110212181. The next prime is 101220110212229. The reversal of 101220110212200 is 2212011022101.

It is a super-2 number, since 2×1012201102122002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101220110212200.

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, 12050008921 + ... + 12050017320.

It is an arithmetic number, because the mean of its divisors is an integer number (3735504067510).

Almost surely, 2101220110212200 is an apocalyptic number.

101220110212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220110212200 is an abundant number, since it is smaller than the sum of its proper divisors (257388280268760).

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

101220110212200 is a wasteful number, since it uses less digits than its factorization.

101220110212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24100026267 (or 24100026258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101220110212200 its reverse (2212011022101), we get a palindrome (103432121234301).

The spelling of 101220110212200 in words is "one hundred one trillion, two hundred twenty billion, one hundred ten million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 24100026241 48200052482 72300078723 96400104964 120500131205 144600157446 168700183687 192800209928 241000262410 289200314892 337400367374 361500393615 482000524820 506100551061 578400629784 602500656025 674800734748 723000787230 843500918435 964001049640 1012201102122 1205001312050 1349601469496 1446001574460 1687001836870 1807501968075 2024402204244 2410002624100 2530502755305 2892003148920 3374003673740 3615003936150 4048804408488 4217504592175 4820005248200 5061005510610 6748007347480 7230007872300 8435009184350 10122011021220 12652513776525 14460015744600 16870018368700 20244022042440 25305027553050 33740036737400 50610055106100 101220110212200