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102200104320 = 2735129141231
BaseRepresentation
bin101111100101110011…
…0011101010110000000
3100202210111112012222220
41133023212131112000
53133301211314240
6114541114531040
710245420360546
oct1371346352600
9322714465886
10102200104320
113a385327036
1217982736a80
139839579712
144d37327d96
1529d24775d0
hex17cb99d580

102200104320 has 128 divisors (see below), whose sum is σ = 326023073280. Its totient is φ = 27231590400.

The previous prime is 102200104309. The next prime is 102200104339. The reversal of 102200104320 is 23401002201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1022001043202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102200104320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2458105 + ... + 2499335.

It is an arithmetic number, because the mean of its divisors is an integer number (2547055260).

Almost surely, 2102200104320 is an apocalyptic number.

102200104320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163011536640).

102200104320 is an abundant number, since it is smaller than the sum of its proper divisors (223822968960).

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

102200104320 is a wasteful number, since it uses less digits than its factorization.

102200104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42544 (or 42532 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102200104320 its reverse (23401002201), we get a palindrome (125601106521).

The spelling of 102200104320 in words is "one hundred two billion, two hundred million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1291 1920 2582 3873 5164 6455 7746 10328 12910 15492 19365 20656 25820 30984 38730 41231 41312 51640 61968 77460 82462 82624 103280 123693 123936 154920 164924 165248 206155 206560 247386 247872 309840 329848 412310 413120 494772 495744 618465 619680 659696 824620 826240 989544 1236930 1239360 1319392 1649240 1979088 2473860 2478720 2638784 3298480 3958176 4947720 5277568 6596960 7916352 9895440 13193920 15832704 19790880 26387840 39581760 53229221 79163520 106458442 159687663 212916884 266146105 319375326 425833768 532292210 638750652 798438315 851667536 1064584420 1277501304 1596876630 1703335072 2129168840 2555002608 3193753260 3406670144 4258337680 5110005216 6387506520 6813340288 8516675360 10220010432 12775013040 17033350720 20440020864 25550026080 34066701440 51100052160 102200104320