Search a number
-
+
1303223121100 = 225213114924481
BaseRepresentation
bin10010111101101110001…
…001101011010011001100
311121120211212012222011201
4102331232021223103030
5132323000104333400
62434405322155244
7163104040520035
oct22755611532314
94546755188151
101303223121100
1146276a52783a
121906a6952b24
1395b7ca9cba4
144710d671a8c
1523d76d8e06a
hex12f6e26b4cc

1303223121100 has 108 divisors (see below), whose sum is σ = 2869475201208. Its totient is φ = 513723392000.

The previous prime is 1303223121061. The next prime is 1303223121223. The reversal of 1303223121100 is 11213223031.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290830860 + ... + 290835340.

It is an arithmetic number, because the mean of its divisors is an integer number (26569214826).

Almost surely, 21303223121100 is an apocalyptic number.

1303223121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303223121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434737600604).

1303223121100 is an abundant number, since it is smaller than the sum of its proper divisors (1566252080108).

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

1303223121100 is a wasteful number, since it uses less digits than its factorization.

1303223121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1303223121100 its reverse (11213223031), we get a palindrome (1314436344131).

The spelling of 1303223121100 in words is "one trillion, three hundred three billion, two hundred twenty-three million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 149 262 298 524 596 655 745 1310 1490 2620 2980 3275 3725 4481 6550 7450 8962 13100 14900 17924 19519 22201 22405 39038 44402 44810 78076 88804 89620 97595 111005 112025 195190 222010 224050 390380 444020 448100 487975 555025 587011 667669 975950 1110050 1174022 1335338 1951900 2220100 2348044 2670676 2908331 2935055 3338345 5816662 5870110 6676690 11633324 11740220 13353380 14541655 14675275 16691725 29083310 29350550 33383450 58166620 58701100 66766900 72708275 87464639 99482681 145416550 174929278 198965362 290833100 349858556 397930724 437323195 497413405 874646390 994826810 1749292780 1989653620 2186615975 2487067025 4373231950 4974134050 8746463900 9948268100 13032231211 26064462422 52128924844 65161156055 130322312110 260644624220 325805780275 651611560550 1303223121100