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102400254542355 = 357111483493312119
BaseRepresentation
bin10111010010000111101010…
…110011000000001000010011
3111102120100221210200211201020
4113102013222303000020103
5101410211210130323410
61001442005535410523
730366113524132320
oct2722075263001023
9442510853624636
10102400254542355
112a69a782135840
12b599a32083a43
13451a3c198b713
141b402ad5a3b47
15bc89eb6c5a70
hex5d21eacc0213

102400254542355 has 128 divisors (see below), whose sum is σ = 204464606330880. Its totient is φ = 42515124687360.

The previous prime is 102400254542351. The next prime is 102400254542359. The reversal of 102400254542355 is 553245452004201.

It is an interprime number because it is at equal distance from previous prime (102400254542351) and next prime (102400254542359).

It is not a de Polignac number, because 102400254542355 - 22 = 102400254542351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102400254542351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8449556986 + ... + 8449569104.

It is an arithmetic number, because the mean of its divisors is an integer number (1597379736960).

Almost surely, 2102400254542355 is an apocalyptic number.

102400254542355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102400254542355 is a deficient number, since it is larger than the sum of its proper divisors (102064351788525).

102400254542355 is a wasteful number, since it uses less digits than its factorization.

102400254542355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18561.

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 102400254542355 in words is "one hundred two trillion, four hundred billion, two hundred fifty-four million, five hundred forty-two thousand, three hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 1483 4449 4933 7415 10381 12119 14799 16313 22245 24665 31143 34531 36357 48939 51905 54263 60595 73995 81565 84833 103593 114191 133309 155715 162789 172655 181785 244695 254499 271315 342573 379841 399927 424165 517965 570955 666545 813945 933163 1139523 1272495 1712865 1899205 1999635 2799489 4665815 5697615 7315639 13997445 17972477 21946917 36578195 51209473 53917431 59783027 80472029 89862385 109734585 125807339 153628419 179349081 197697247 241416087 256047365 269587155 298915135 377422017 402360145 418481189 563304203 593091741 629036695 657613297 768142095 896745405 988486235 1207080435 1255443567 1383880729 1689912609 1887110085 1972839891 2092405945 2816521015 2965458705 3288066485 4151642187 4603293079 6277217835 6919403645 8449563045 9864199455 13809879237 20758210935 23016465395 69049396185 88658229041 265974687123 443291145205 620607603287 975240519451 1329873435615 1861822809861 2925721558353 3103038016435 4876202597255 6826683636157 9309114049305 14628607791765 20480050908471 34133418180785 102400254542355