Search a number
-
+
10100001210 = 2351333776847
BaseRepresentation
bin10010110100000000…
…11100100110111010
3222001212221012222220
421122000130212322
5131141100014320
64350114024510
7505200410445
oct113200344672
928055835886
1010100001210
114313207442
121b5a578136
13c4c6316a0
146bb55465c
153e1a62e40
hex25a01c9ba

10100001210 has 64 divisors (see below), whose sum is σ = 26182420992. Its totient is φ = 2478744576.

The previous prime is 10100001193. The next prime is 10100001211. The reversal of 10100001210 is 1210000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (10100001211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93007 + ... + 169853.

It is an arithmetic number, because the mean of its divisors is an integer number (409100328).

Almost surely, 210100001210 is an apocalyptic number.

10100001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13091210496).

10100001210 is an abundant number, since it is smaller than the sum of its proper divisors (16082419782).

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

10100001210 is a wasteful number, since it uses less digits than its factorization.

10100001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77207.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100001210 its reverse (1210000101), we get a palindrome (11310001311).

The spelling of 10100001210 in words is "ten billion, one hundred million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 337 390 674 1011 1685 2022 3370 4381 5055 8762 10110 13143 21905 26286 43810 65715 76847 131430 153694 230541 384235 461082 768470 999011 1152705 1998022 2305410 2997033 4995055 5994066 9990110 14985165 25897439 29970330 51794878 77692317 129487195 155384634 258974390 336666707 388461585 673333414 776923170 1010000121 1683333535 2020000242 3366667070 5050000605 10100001210