Search a number
-
+
102554552522310 = 23571968573748417
BaseRepresentation
bin10111010100010111010111…
…101011000101011001000110
3111110010010020002120100200120
4113110113113223011121012
5101420223210421203220
61002040524440522410
730413215262254350
oct2724272753053106
9443103202510616
10102554552522310
112a74a161341939
12b603914180406
13452bb11800a85
141b47949ab40d0
15bcca2c78aa40
hex5d45d7ac5646

102554552522310 has 128 divisors (see below), whose sum is σ = 296140615418880. Its totient is φ = 22204057042944.

The previous prime is 102554552522249. The next prime is 102554552522327. The reversal of 102554552522310 is 13225255455201.

It is a super-2 number, since 2×1025545525223102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25485222 + ... + 29233638.

It is an arithmetic number, because the mean of its divisors is an integer number (2313598557960).

Almost surely, 2102554552522310 is an apocalyptic number.

102554552522310 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 102554552522310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148070307709440).

102554552522310 is an abundant number, since it is smaller than the sum of its proper divisors (193586062896570).

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

102554552522310 is a wasteful number, since it uses less digits than its factorization.

102554552522310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755310.

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 102554552522310 in words is "one hundred two trillion, five hundred fifty-four billion, five hundred fifty-two million, five hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3990 6857 13714 20571 34285 41142 47999 68570 95998 102855 130283 143997 205710 239995 260566 287994 390849 479990 651415 719985 781698 911981 1302830 1439970 1823962 1954245 2735943 3748417 3908490 4559905 5471886 7496834 9119810 11245251 13679715 18742085 22490502 26238919 27359430 37484170 52477838 56226255 71219923 78716757 112452510 131194595 142439846 157433514 213659769 262389190 356099615 393583785 427319538 498539461 712199230 787167570 997078922 1068298845 1495618383 2136597690 2492697305 2991236766 4985394610 7478091915 14956183830 25702895369 51405790738 77108686107 128514476845 154217372214 179920267583 257028953690 359840535166 385543430535 488355012011 539760802749 771086861070 899601337915 976710024022 1079521605498 1465065036033 1799202675830 2441775060055 2698804013745 2930130072066 3418485084077 4883550120110 5397608027490 6836970168154 7325325180165 10255455252231 14650650360330 17092425420385 20510910504462 34184850840770 51277276261155 102554552522310