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101011211210 = 25721344935317
BaseRepresentation
bin101111000010010111…
…1001100001111001010
3100122201122102012020202
41132010233030033022
53123332332224320
6114223124452202
710204103062100
oct1360457141712
9318648365222
10101011211210
1139925217048
12176b054a062
1396aa173880
144c63489c70
152962dd2b75
hex1784bcc3ca

101011211210 has 96 divisors (see below), whose sum is σ = 228288488400. Its totient is φ = 31896281088.

The previous prime is 101011211209. The next prime is 101011211243. The reversal of 101011211210 is 12112110101.

It can be written as a sum of positive squares in 8 ways, for example, as 30378049849 + 70633161361 = 174293^2 + 265769^2 .

It is a super-2 number, since 2×1010112112102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101011211191 and 101011211200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2842472 + ... + 2877788.

Almost surely, 2101011211210 is an apocalyptic number.

101011211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011211210 is an abundant number, since it is smaller than the sum of its proper divisors (127277277190).

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

101011211210 is a wasteful number, since it uses less digits than its factorization.

101011211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35800 (or 35793 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101011211210 its reverse (12112110101), we get a palindrome (113123321311).

The spelling of 101011211210 in words is "one hundred one billion, eleven million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 449 455 490 637 898 910 1274 2245 3143 3185 4490 5837 6286 6370 11674 15715 22001 29185 31430 35317 40859 44002 58370 70634 81718 110005 176585 204295 220010 247219 286013 353170 408590 459121 494438 572026 918242 1236095 1430065 1730533 2295605 2472190 2860130 3213847 3461066 4591210 6427694 8652665 15857333 16069235 17305330 22496929 31714666 32138470 44993858 79286665 111001331 112484645 158573330 206145329 222002662 224969290 412290658 555006655 777009317 1030726645 1110013310 1443017303 1554018634 2061453290 2886034606 3885046585 7215086515 7770093170 10101121121 14430173030 20202242242 50505605605 101011211210