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102673326032214 = 23728123189375163
BaseRepresentation
bin10111010110000101111111…
…001000000100010101010110
3111110112110210121212211001220
4113112011333020010111112
5101424144432431012324
61002211250321231210
730424621506402030
oct2726057710042526
9443473717784056
10102673326032214
112a795570947883
12b622941192506
13453a08c87a452
141b4d5b6192c50
15bd0b7ec21b79
hex5d617f204556

102673326032214 has 64 divisors (see below), whose sum is σ = 235527839147520. Its totient is φ = 29229501692160.

The previous prime is 102673326032201. The next prime is 102673326032219. The reversal of 102673326032214 is 412230623376201.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102673326032219) 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 31 ways as a sum of consecutive naturals, for example, 273488997 + ... + 273864159.

It is an arithmetic number, because the mean of its divisors is an integer number (3680122486680).

Almost surely, 2102673326032214 is an apocalyptic number.

102673326032214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102673326032214 is an abundant number, since it is smaller than the sum of its proper divisors (132854513115306).

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

102673326032214 is a wasteful number, since it uses less digits than its factorization.

102673326032214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398645.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 102673326032214 in words is "one hundred two trillion, six hundred seventy-three billion, three hundred twenty-six million, thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 281 562 843 1686 1967 3934 5901 11802 23189 46378 69567 139134 162323 324646 375163 486969 750326 973938 1125489 2250978 2626141 5252282 6516109 7878423 13032218 15756846 19548327 39096654 45612763 91225526 105420803 136838289 210841606 273676578 316262409 632524818 737945621 1475891242 2213836863 4427673726 8699654807 17399309614 26098964421 52197928842 60897583649 121795167298 182692750947 365385501894 2444603000767 4889206001534 7333809002301 14667618004602 17112221005369 34224442010738 51336663016107 102673326032214