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101022331212 = 223211376894781
BaseRepresentation
bin101111000010101100…
…1100111000101001100
3100122202102100011000200
41132011121213011030
53123343204044322
6114224203053500
710204266434655
oct1360531470514
9318672304020
10101022331212
1139930521730
12176b4211290
1396ac56815a
144c64b4252c
152963d7c8ac
hex178566714c

101022331212 has 72 divisors (see below), whose sum is σ = 286105873872. Its totient is φ = 29785449600.

The previous prime is 101022331199. The next prime is 101022331253. The reversal of 101022331212 is 212133220101.

101022331212 is a `hidden beast` number, since 101 + 0 + 22 + 331 + 212 = 666.

It is a super-2 number, since 2×1010223312122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3432739 + ... + 3462042.

Almost surely, 2101022331212 is an apocalyptic number.

101022331212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022331212 is an abundant number, since it is smaller than the sum of its proper divisors (185083542660).

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

101022331212 is a wasteful number, since it uses less digits than its factorization.

101022331212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894839 (or 6894834 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101022331212 its reverse (212133220101), we get a palindrome (313155551313).

Subtracting 101022331212 from its reverse (212133220101), we obtain a square (111110888889 = 3333332).

It can be divided in two parts, 101022 and 331212, that added together give a palindrome (432234).

The spelling of 101022331212 in words is "one hundred one billion, twenty-two million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 6894781 13789562 20684343 27579124 41368686 62053029 75842591 82737372 124106058 151685182 227527773 248212116 255106897 303370364 455055546 510213794 682583319 765320691 910111092 1020427588 1365166638 1530641382 2295962073 2730333276 2806175867 3061282764 4591924146 5612351734 8418527601 9183848292 11224703468 16837055202 25255582803 33674110404 50511165606 101022331212