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10020023400 = 2335243388373
BaseRepresentation
bin10010101010011110…
…10110110001101000
3221212022102221001210
421111033112301220
5131010111222100
64334135513120
7503206536132
oct112517266150
927768387053
1010020023400
114282050982
121b378287a0
13c38bab43a
146b0a96052
153d9a15c50
hex2553d6c68

10020023400 has 96 divisors (see below), whose sum is σ = 31784528160. Its totient is φ = 2609859840.

The previous prime is 10020023353. The next prime is 10020023413. The reversal of 10020023400 is 432002001.

10020023400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 168387 + ... + 219986.

It is an arithmetic number, because the mean of its divisors is an integer number (331088835).

Almost surely, 210020023400 is an apocalyptic number.

10020023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020023400 is an abundant number, since it is smaller than the sum of its proper divisors (21764504760).

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

10020023400 is a wasteful number, since it uses less digits than its factorization.

10020023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388435 (or 388426 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10020023400 its reverse (432002001), we get a palindrome (10452025401).

The spelling of 10020023400 in words is "ten billion, twenty million, twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 388373 776746 1165119 1553492 1941865 2330238 3106984 3883730 4660476 5825595 7767460 9320952 9709325 11651190 15534920 16700039 19418650 23302380 29127975 33400078 38837300 46604760 50100117 58255950 66800156 77674600 83500195 100200234 116511900 133600312 167000390 200400468 233023800 250500585 334000780 400800936 417500975 501001170 668001560 835001950 1002002340 1252502925 1670003900 2004004680 2505005850 3340007800 5010011700 10020023400