Search a number
-
+
10121243400 = 23325213142923
BaseRepresentation
bin10010110110100010…
…11110101100001000
3222010100220102210200
421123101132230020
5131212014242100
64352153212200
7505546102152
oct113321365410
928110812720
1010121243400
1143241a5a74
121b65701060
13c53b5b328
146c02c3ad2
153e385be00
hex25b45eb08

10121243400 has 144 divisors (see below), whose sum is σ = 34250776560. Its totient is φ = 2678332800.

The previous prime is 10121243389. The next prime is 10121243411. The reversal of 10121243400 is 434212101.

10121243400 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 243 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (10121243389) and next prime (10121243411).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214339 + ... + 257261.

It is an arithmetic number, because the mean of its divisors is an integer number (237852615).

Almost surely, 210121243400 is an apocalyptic number.

10121243400 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 10121243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125388280).

10121243400 is an abundant number, since it is smaller than the sum of its proper divisors (24129533160).

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

10121243400 is a wasteful number, since it uses less digits than its factorization.

10121243400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43076 (or 43064 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10121243400 its reverse (434212101), we get a palindrome (10555455501).

The spelling of 10121243400 in words is "ten billion, one hundred twenty-one million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 131 150 180 200 225 262 300 360 393 450 524 600 655 786 900 1048 1179 1310 1572 1800 1965 2358 2620 3144 3275 3930 4716 5240 5895 6550 7860 9432 9825 11790 13100 15720 19650 23580 26200 29475 39300 42923 47160 58950 78600 85846 117900 128769 171692 214615 235800 257538 343384 386307 429230 515076 643845 772614 858460 1030152 1073075 1287690 1545228 1716920 1931535 2146150 2575380 3090456 3219225 3863070 4292300 5150760 5622913 6438450 7726140 8584600 9657675 11245826 12876900 15452280 16868739 19315350 22491652 25753800 28114565 33737478 38630700 44983304 50606217 56229130 67474956 77261400 84343695 101212434 112458260 134949912 140572825 168687390 202424868 224916520 253031085 281145650 337374780 404849736 421718475 506062170 562291300 674749560 843436950 1012124340 1124582600 1265155425 1686873900 2024248680 2530310850 3373747800 5060621700 10121243400