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133378344100 = 22525926192
BaseRepresentation
bin111110000110111111…
…0000000010010100100
3110202021100212220111101
41330031332000102210
54141124324002400
6141135000445444
712431145135031
oct1741576002244
9422240786441
10133378344100
1151624664051
1221a24179884
13c767a87601
14665403a388
15370973e56a
hex1f0df804a4

133378344100 has 81 divisors (see below), whose sum is σ = 294896169057. Its totient is φ = 52362348960.

The previous prime is 133378344089. The next prime is 133378344103. The reversal of 133378344100 is 1443873331.

The square root of 133378344100 is 365210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 48016203876 + 85362140224 = 219126^2 + 292168^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133378344100.

It is not an unprimeable number, because it can be changed into a prime (133378344103) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 215473591 + ... + 215474209.

Almost surely, 2133378344100 is an apocalyptic number.

133378344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133378344100 is the 365210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133378344100

133378344100 is an abundant number, since it is smaller than the sum of its proper divisors (161517824957).

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

133378344100 is an frugal number, since it uses more digits than its factorization.

133378344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 133378344100 in words is "one hundred thirty-three billion, three hundred seventy-eight million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 619 1180 1238 1475 2476 2950 3095 3481 5900 6190 6962 12380 13924 15475 17405 30950 34810 36521 61900 69620 73042 87025 146084 174050 182605 348100 365210 383161 730420 766322 913025 1532644 1826050 1915805 2154739 3652100 3831610 4309478 7663220 8618956 9579025 10773695 19158050 21547390 22606499 38316100 43094780 45212998 53868475 90425996 107736950 113032495 215473900 226064990 452129980 565162475 1130324950 1333783441 2260649900 2667566882 5335133764 6668917205 13337834410 26675668820 33344586025 66689172050 133378344100