Search a number
-
+
10100220102210 = 235771119676279
BaseRepresentation
bin1001001011111010010000…
…0010000000011001000010
31022202120102201000221112210
42102332210002000121002
52310440222321232320
633251551013402550
72061500604223230
oct222764402003102
938676381027483
1010100220102210
11324452aa32177
1211715a7339456
135835a6440054
1426cbd34c5950
15127ae36580e0
hex92fa4080642

10100220102210 has 64 divisors (see below), whose sum is σ = 27703891353600. Its totient is φ = 2308585862592.

The previous prime is 10100220102163. The next prime is 10100220102211. The reversal of 10100220102210 is 1220102200101.

It is a super-2 number, since 2×101002201022102 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100220102211) 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, 14596851 + ... + 15273129.

It is an arithmetic number, because the mean of its divisors is an integer number (432873302400).

Almost surely, 210100220102210 is an apocalyptic number.

10100220102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100220102210 is an abundant number, since it is smaller than the sum of its proper divisors (17603671251390).

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

10100220102210 is a wasteful number, since it uses less digits than its factorization.

10100220102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747415.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100220102210 its reverse (1220102200101), we get a palindrome (11320322302311).

The spelling of 10100220102210 in words is "ten trillion, one hundred billion, two hundred twenty million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 71119 142238 213357 355595 426714 497833 676279 711190 995666 1066785 1352558 1493499 2028837 2133570 2489165 2986998 3381395 4057674 4733953 4978330 6762790 7467495 9467906 10144185 14201859 14934990 20288370 23669765 28403718 47339530 71009295 142018590 48096286201 96192572402 144288858603 240481431005 288577717206 336674003407 480962862010 673348006814 721444293015 1010022010221 1442888586030 1683370017035 2020044020442 3366740034070 5050110051105 10100220102210