Search a number
-
+
10023341100 = 223521712231607
BaseRepresentation
bin10010101010111000…
…00000110000101100
3221212112200111002120
421111130000300230
5131011433403400
64334334552540
7503246664543
oct112534006054
927775614076
1010023341100
114283a07583
121b38968750
13c397a0586
146b12bb15a
153d9e6dca0
hex255700c2c

10023341100 has 144 divisors (see below), whose sum is σ = 30751031808. Its totient is φ = 2512040960.

The previous prime is 10023341099. The next prime is 10023341113. The reversal of 10023341100 is 114332001.

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 10023341100.

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 47 ways as a sum of consecutive naturals, for example, 6236497 + ... + 6238103.

It is an arithmetic number, because the mean of its divisors is an integer number (213548832).

Almost surely, 210023341100 is an apocalyptic number.

10023341100 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 10023341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375515904).

10023341100 is an abundant number, since it is smaller than the sum of its proper divisors (20727690708).

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

10023341100 is a wasteful number, since it uses less digits than its factorization.

10023341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10023341100 its reverse (114332001), we get a palindrome (10137673101).

Subtracting from 10023341100 its reverse (114332001), we obtain a palindrome (9909009099).

The spelling of 10023341100 in words is "ten billion, twenty-three million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1223 1275 1607 1700 2446 2550 3214 3669 4821 4892 5100 6115 6428 7338 8035 9642 12230 14676 16070 18345 19284 20791 24105 24460 27319 30575 32140 36690 40175 41582 48210 54638 61150 62373 73380 80350 81957 83164 91725 96420 103955 109276 120525 122300 124746 136595 160700 163914 183450 207910 241050 249492 273190 311865 327828 366900 409785 415820 482100 519775 546380 623730 682975 819570 1039550 1247460 1365950 1559325 1639140 1965361 2048925 2079100 2731900 3118650 3930722 4097850 5896083 6237300 7861444 8195700 9826805 11792166 19653610 23584332 29480415 33411137 39307220 49134025 58960830 66822274 98268050 100233411 117921660 133644548 147402075 167055685 196536100 200466822 294804150 334111370 400933644 501167055 589608300 668222740 835278425 1002334110 1670556850 2004668220 2505835275 3341113700 5011670550 10023341100