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1334202130100 = 225272272286149
BaseRepresentation
bin10011011010100100101…
…001001101111010110100
311201112210211200200102102
4103122210221031322310
5133324421221130400
62500531330001232
7165251525662400
oct23324451157264
94645724620372
101334202130100
11474917357814
121966b1716218
1398a78c32948
144880bb22100
1524a8b8ee9d5
hex136a4a4deb4

1334202130100 has 54 divisors (see below), whose sum is σ = 3367907389350. Its totient is φ = 457440728640.

The previous prime is 1334202130043. The next prime is 1334202130109. The reversal of 1334202130100 is 10312024331.

It can be written as a sum of positive squares in 3 ways, for example, as 229437168016 + 1104764962084 = 478996^2 + 1051078^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334202130109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136138175 + ... + 136147974.

Almost surely, 21334202130100 is an apocalyptic number.

1334202130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334202130100 is an abundant number, since it is smaller than the sum of its proper divisors (2033705259250).

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

1334202130100 is a wasteful number, since it uses less digits than its factorization.

1334202130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272286177 (or 272286163 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1334202130100 its reverse (10312024331), we get a palindrome (1344514154431).

The spelling of 1334202130100 in words is "one trillion, three hundred thirty-four billion, two hundred two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 272286149 544572298 1089144596 1361430745 1906003043 2722861490 3812006086 5445722980 6807153725 7624012172 9530015215 13342021301 13614307450 19060030430 26684042602 27228614900 38120060860 47650076075 53368085204 66710106505 95300152150 133420213010 190600304300 266840426020 333550532525 667101065050 1334202130100