Search a number
-
+
10102200102 = 2326733125307
BaseRepresentation
bin10010110100010001…
…10101011100100110
3222002001001221022100
421122020311130212
5131142130400402
64350233112530
7505225166301
oct113210653446
928061057270
1010102200102
114314479505
121b5b258746
13c4cc214c7
146bb967b38
153e1d4971c
hex25a235726

10102200102 has 48 divisors (see below), whose sum is σ = 22282782912. Its totient is φ = 3306988080.

The previous prime is 10102200091. The next prime is 10102200107. The reversal of 10102200102 is 20100220101.

It is a super-3 number, since 3×101022001023 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102200107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386533 + ... + 411839.

It is an arithmetic number, because the mean of its divisors is an integer number (464224644).

Almost surely, 210102200102 is an apocalyptic number.

10102200102 is an abundant number, since it is smaller than the sum of its proper divisors (12180582810).

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

10102200102 is a wasteful number, since it uses less digits than its factorization.

10102200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25713 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102200102 its reverse (20100220101), we get a palindrome (30202420203).

The spelling of 10102200102 in words is "ten billion, one hundred two million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 18 67 134 201 331 402 603 662 993 1206 1986 2979 5958 22177 25307 44354 50614 66531 75921 133062 151842 199593 227763 399186 455526 1695569 3391138 5086707 8376617 10173414 15260121 16753234 25129851 30520242 50259702 75389553 150779106 561233339 1122466678 1683700017 3367400034 5051100051 10102200102