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102034444330 = 257133113471039
BaseRepresentation
bin101111100000110111…
…0100001000000101010
3100202100221210211012201
41133001232201000222
53132431304204310
6114512440130414
710241336316040
oct1370156410052
9322327724181
10102034444330
113a2aa869255
1217937166a0a
139811156960
144d1d324390
1529c2b52e3a
hex17c1ba102a

102034444330 has 128 divisors (see below), whose sum is σ = 227644784640. Its totient is φ = 32064733440.

The previous prime is 102034444313. The next prime is 102034444331. The reversal of 102034444330 is 33444430201.

102034444330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020344443302 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102034444331) 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, 98203951 + ... + 98204989.

It is an arithmetic number, because the mean of its divisors is an integer number (1778474880).

Almost surely, 2102034444330 is an apocalyptic number.

102034444330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102034444330 is an abundant number, since it is smaller than the sum of its proper divisors (125610340310).

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

102034444330 is a wasteful number, since it uses less digits than its factorization.

102034444330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724.

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 102034444330 its reverse (33444430201), we get a palindrome (135478874531).

The spelling of 102034444330 in words is "one hundred two billion, thirty-four million, four hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 311 347 455 622 694 910 1039 1555 1735 2078 2177 2429 3110 3470 4043 4354 4511 4858 5195 7273 8086 9022 10390 10885 12145 13507 14546 20215 21770 22555 24290 27014 28301 31577 36365 40430 45110 56602 63154 67535 72730 94549 107917 135070 141505 157885 189098 215834 283010 315770 323129 360533 472745 539585 646258 721066 755419 945490 1079170 1402921 1510838 1615645 1802665 2261903 2523731 2805842 3231290 3605330 3777095 4200677 4523806 4686929 5047462 7014605 7554190 8401354 9373858 9820447 11309515 12618655 14029210 19640894 21003385 22619030 23434645 25237310 29404739 32808503 42006770 46869290 49102235 58809478 65617006 98204470 112125763 147023695 164042515 224251526 294047390 328085030 560628815 784880341 1121257630 1457634919 1569760682 2915269838 3924401705 7288174595 7848803410 10203444433 14576349190 20406888866 51017222165 102034444330