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135243002200251 = 31156361966117791
BaseRepresentation
bin11110110000000010110111…
…000110101100000010111011
3122201212002211100122012200210
4132300002313012230002323
5120211310132030402001
61155345435535002203
740325661446120061
oct3660026706540273
9581762740565623
10135243002200251
113a102264a67460
1213202bbb969363
135a6048b9c2a0a
142557b20c10031
151097eaa5a1dd6
hex7b00b71ac0bb

135243002200251 has 64 divisors (see below), whose sum is σ = 197694592450560. Its totient is φ = 81559521648000.

The previous prime is 135243002200249. The next prime is 135243002200259. The reversal of 135243002200251 is 152002200342531.

It is not a de Polignac number, because 135243002200251 - 21 = 135243002200249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135243002200259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7601756166 + ... + 7601773956.

It is an arithmetic number, because the mean of its divisors is an integer number (3088978007040).

Almost surely, 2135243002200251 is an apocalyptic number.

135243002200251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135243002200251 is a deficient number, since it is larger than the sum of its proper divisors (62451590250309).

135243002200251 is a wasteful number, since it uses less digits than its factorization.

135243002200251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19648.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 135243002200251 its reverse (152002200342531), we get a palindrome (287245202542782).

The spelling of 135243002200251 in words is "one hundred thirty-five trillion, two hundred forty-three billion, two million, two hundred thousand, two hundred fifty-one".

Divisors: 1 3 11 33 563 619 661 1689 1857 1983 6193 6809 7271 17791 18579 20427 21813 53373 195701 348497 372143 409159 587103 1045491 1116429 1227477 3833467 4093573 4500749 10016333 11012629 11500401 11759851 12280719 13502247 30048999 33037887 35279553 110179663 121138919 129358361 230356517 330538989 363416757 388075083 691069551 2533921687 6200110127 6620796113 7279347769 7601765061 18600330381 19862388339 21838043307 68201211397 72828757243 80072825459 204603634191 218486271729 240218476377 4098272793947 12294818381841 45081000733417 135243002200251