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1203420214100 = 2252131606157637
BaseRepresentation
bin10001100000110001011…
…011110011001101010100
311021001020102102222200202
4101200301123303031110
5124204101033322400
62320502115400032
7152641606020506
oct21406133631524
94231212388622
101203420214100
11424405379615
12175292bb3018
138963606a530
1442362877d76
15214850d74d5
hex118316f3354

1203420214100 has 72 divisors (see below), whose sum is σ = 2812524367128. Its totient is φ = 444304396800.

The previous prime is 1203420214033. The next prime is 1203420214141. The reversal of 1203420214100 is 14120243021.

It can be written as a sum of positive squares in 12 ways, for example, as 877867806916 + 325552407184 = 936946^2 + 570572^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20850482 + ... + 20908118.

Almost surely, 21203420214100 is an apocalyptic number.

1203420214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1203420214100 is an abundant number, since it is smaller than the sum of its proper divisors (1609104153028).

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

1203420214100 is a wasteful number, since it uses less digits than its factorization.

1203420214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73725 (or 73718 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1203420214100 its reverse (14120243021), we get a palindrome (1217540457121).

The spelling of 1203420214100 in words is "one trillion, two hundred three billion, four hundred twenty million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 16061 32122 57637 64244 80305 115274 160610 208793 230548 288185 321220 401525 417586 576370 749281 803050 835172 1043965 1152740 1440925 1498562 1606100 2087930 2881850 2997124 3746405 4175860 5219825 5763700 7492810 10439650 14985620 18732025 20879300 37464050 74928100 925707857 1851415714 3702831428 4628539285 9257078570 12034202141 18514157140 23142696425 24068404282 46285392850 48136808564 60171010705 92570785700 120342021410 240684042820 300855053525 601710107050 1203420214100