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10100000340 = 2232568278219
BaseRepresentation
bin10010110100000000…
…11100011001010100
3222001212221011210200
421122000130121110
5131141100002330
64350114020500
7505200405063
oct113200343124
928055834720
1010100000340
114313206821
121b5a577730
13c4c631181
146bb5541da
153e1a62a60
hex25a01c654

10100000340 has 72 divisors (see below), whose sum is σ = 30644883360. Its totient is φ = 2692611264.

The previous prime is 10100000257. The next prime is 10100000359. The reversal of 10100000340 is 4300000101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1224751 + ... + 1232969.

It is an arithmetic number, because the mean of its divisors is an integer number (425623380).

Almost surely, 210100000340 is an apocalyptic number.

10100000340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100000340 is an abundant number, since it is smaller than the sum of its proper divisors (20544883020).

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

10100000340 is a wasteful number, since it uses less digits than its factorization.

10100000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15061 (or 15056 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10100000340 its reverse (4300000101), we get a palindrome (14400000441).

The spelling of 10100000340 in words is "ten billion, one hundred million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6827 8219 13654 16438 20481 24657 27308 32876 34135 40962 41095 49314 61443 68270 73971 81924 82190 98628 102405 122886 123285 136540 147942 164380 204810 245772 246570 295884 307215 369855 409620 493140 614430 739710 1228860 1479420 56111113 112222226 168333339 224444452 280555565 336666678 505000017 561111130 673333356 841666695 1010000034 1122222260 1683333390 2020000068 2525000085 3366666780 5050000170 10100000340