Search a number
-
+
1255033214310 = 235298943137607
BaseRepresentation
bin10010010000110101110…
…011110001010101100110
311102222110102102001122010
4102100311303301111212
5131030302000324220
62400315421215050
7156446615210001
oct22206563612546
94388412361563
101255033214310
11444290592597
12183298101486
1391470045345
1444a5b4c4538
15229a63981e0
hex12435cf1566

1255033214310 has 128 divisors (see below), whose sum is σ = 3158349926400. Its totient is φ = 318754472960.

The previous prime is 1255033214299. The next prime is 1255033214317. The reversal of 1255033214310 is 134123305521.

It is a super-2 number, since 2×12550332143102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255033214317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33353527 + ... + 33391133.

It is an arithmetic number, because the mean of its divisors is an integer number (24674608800).

Almost surely, 21255033214310 is an apocalyptic number.

1255033214310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255033214310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579174963200).

1255033214310 is an abundant number, since it is smaller than the sum of its proper divisors (1903316712090).

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

1255033214310 is a wasteful number, since it uses less digits than its factorization.

1255033214310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38166.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 1255033214310 its reverse (134123305521), we get a palindrome (1389156519831).

The spelling of 1255033214310 in words is "one trillion, two hundred fifty-five billion, thirty-three million, two hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 89 145 174 178 267 290 431 435 445 534 862 870 890 1293 1335 2155 2581 2586 2670 4310 5162 6465 7743 12499 12905 12930 15486 24998 25810 37497 37607 38359 38715 62495 74994 75214 76718 77430 112821 115077 124990 187485 188035 191795 225642 230154 374970 376070 383590 564105 575385 1090603 1112411 1128210 1150770 2181206 2224822 3271809 3337233 3347023 5453015 5562055 6543618 6674466 6694046 10041069 10906030 11124110 16208617 16359045 16686165 16735115 20082138 32417234 32718090 33372330 33470230 48625851 50205345 81043085 97063667 97251702 100410690 162086170 194127334 243129255 291191001 470049893 485318335 486258510 582382002 940099786 970636670 1410149679 1442566913 1455955005 2350249465 2820299358 2885133826 2911910010 4327700739 4700498930 7050748395 7212834565 8655401478 14101496790 14425669130 21638503695 41834440477 43277007390 83668880954 125503321431 209172202385 251006642862 418344404770 627516607155 1255033214310