Search a number
-
+
10211021300 = 2252412490493
BaseRepresentation
bin10011000001001111…
…11101000111110100
3222100121211121221002
421200213331013310
5131403010140200
64405121342432
7511016151254
oct114047750764
928317747832
1010211021300
11436a945487
121b8b797a18
13c6963314c
146cc1b3964
153eb692bd5
hex2609fd1f4

10211021300 has 36 divisors (see below), whose sum is σ = 22698362316. Its totient is φ = 3984787200.

The previous prime is 10211021291. The next prime is 10211021309. The reversal of 10211021300 is 312011201.

It is an interprime number because it is at equal distance from previous prime (10211021291) and next prime (10211021309).

It can be written as a sum of positive squares in 6 ways, for example, as 291658084 + 9919363216 = 17078^2 + 99596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211021309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1241147 + ... + 1249346.

Almost surely, 210211021300 is an apocalyptic number.

10211021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211021300 is an abundant number, since it is smaller than the sum of its proper divisors (12487341016).

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

10211021300 is a wasteful number, since it uses less digits than its factorization.

10211021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490548 (or 2490541 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10211021300 its reverse (312011201), we get a palindrome (10523032501).

The spelling of 10211021300 in words is "ten billion, two hundred eleven million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 2490493 4980986 9961972 12452465 24904930 49809860 62262325 102110213 124524650 204220426 249049300 408440852 510551065 1021102130 2042204260 2552755325 5105510650 10211021300