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214121403300 = 223527101962573
BaseRepresentation
bin1100011101101010100…
…0010101001110100100
3202110200111012022002110
43013122220111032210
512002010034401200
6242211020441020
721320061620010
oct3073250251644
9673614168073
10214121403300
1182898a4a542
12355b89a9170
1317264b2690c
14a51375b540
155883088b50
hex31daa153a4

214121403300 has 72 divisors (see below), whose sum is σ = 708028113856. Its totient is φ = 48942034560.

The previous prime is 214121403253. The next prime is 214121403337. The reversal of 214121403300 is 3304121412.

It is a super-4 number, since 4×2141214033004 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 50979187 + ... + 50983386.

Almost surely, 2214121403300 is an apocalyptic number.

214121403300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214121403300 is an abundant number, since it is smaller than the sum of its proper divisors (493906710556).

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

214121403300 is a wasteful number, since it uses less digits than its factorization.

214121403300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101962597 (or 101962590 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 214121403300 its reverse (3304121412), we get a palindrome (217425524712).

The spelling of 214121403300 in words is "two hundred fourteen billion, one hundred twenty-one million, four hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 101962573 203925146 305887719 407850292 509812865 611775438 713738011 1019625730 1223550876 1427476022 1529438595 2039251460 2141214033 2549064325 2854952044 3058877190 3568690055 4282428066 5098128650 6117754380 7137380110 7647192975 8564856132 10196257300 10706070165 14274760220 15294385950 17843450275 21412140330 30588771900 35686900550 42824280660 53530350825 71373801100 107060701650 214121403300