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104402402320 = 245191273791427
BaseRepresentation
bin110000100111011011…
…1100011110000010000
3100222110222112112220111
41201032313203300100
53202304003333240
6115543425451104
710354121530456
oct1411667436020
9328428475814
10104402402320
1140305486127
12182981a0a94
139aca904028
1450a5a029d6
152ab099a1ea
hex184ede3c10

104402402320 has 160 divisors (see below), whose sum is σ = 258383462400. Its totient is φ = 39120496128.

The previous prime is 104402402303. The next prime is 104402402329. The reversal of 104402402320 is 23204204401.

It is a happy number.

It is a super-2 number, since 2×1044024023202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104402402291 and 104402402300.

It is not an unprimeable number, because it can be changed into a prime (104402402329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73161447 + ... + 73162873.

It is an arithmetic number, because the mean of its divisors is an integer number (1614896640).

Almost surely, 2104402402320 is an apocalyptic number.

104402402320 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 104402402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129191731200).

104402402320 is an abundant number, since it is smaller than the sum of its proper divisors (153981060080).

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

104402402320 is a wasteful number, since it uses less digits than its factorization.

104402402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 104402402320 its reverse (23204204401), we get a palindrome (127606606721).

The spelling of 104402402320 in words is "one hundred four billion, four hundred two million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 127 152 190 254 304 379 380 508 635 758 760 1016 1270 1427 1516 1520 1895 2032 2413 2540 2854 3032 3790 4826 5080 5708 6064 7135 7201 7580 9652 10160 11416 12065 14270 14402 15160 19304 22832 24130 27113 28540 28804 30320 36005 38608 48133 48260 54226 57080 57608 72010 96266 96520 108452 114160 115216 135565 144020 181229 192532 193040 216904 240665 271130 288040 362458 385064 433808 481330 540833 542260 576080 724916 770128 906145 914527 962660 1081666 1084520 1449832 1812290 1829054 1925320 2163332 2169040 2704165 2899664 3443351 3624580 3658108 3850640 4326664 4572635 5408330 6886702 7249160 7316216 8653328 9145270 10275827 10816660 13773404 14498320 14632432 17216755 18290540 20551654 21633320 27546808 34433510 36581080 41103308 43266640 51379135 55093616 68685791 68867020 73162160 82206616 102758270 137371582 137734040 164413232 205516540 274743164 275468080 343428955 411033080 549486328 686857910 822066160 1098972656 1305030029 1373715820 2610060058 2747431640 5220120116 5494863280 6525150145 10440240232 13050300290 20880480464 26100600580 52201201160 104402402320