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12100022000106 = 23314710712935749
BaseRepresentation
bin1011000000010100000110…
…0000110101100111101010
31120211202021100010011111220
42300011001200311213222
53041221321113000411
641422401240402510
72356124553000165
oct260050140654752
946752240104456
1012100022000106
113945654a76a07
121435094a76436
1369a047932c31
142db903928adc
1515eb39053b06
hexb01418359ea

12100022000106 has 64 divisors (see below), whose sum is σ = 25750628352000. Its totient is φ = 3784482434880.

The previous prime is 12100022000093. The next prime is 12100022000113. The reversal of 12100022000106 is 60100022000121.

It is a super-2 number, since 2×121000220001062 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5532481 + ... + 7403268.

It is an arithmetic number, because the mean of its divisors is an integer number (402353568000).

Almost surely, 212100022000106 is an apocalyptic number.

12100022000106 is an abundant number, since it is smaller than the sum of its proper divisors (13650606351894).

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

12100022000106 is a wasteful number, since it uses less digits than its factorization.

12100022000106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12935939.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12100022000106 its sum of digits (15), we get a palindrome (12100022000121).

Adding to 12100022000106 its reverse (60100022000121), we get a palindrome (72200044000227).

The spelling of 12100022000106 in words is "twelve trillion, one hundred billion, twenty-two million, one hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 31 47 62 93 94 107 141 186 214 282 321 642 1457 2914 3317 4371 5029 6634 8742 9951 10058 15087 19902 30174 155899 311798 467697 935394 12935749 25871498 38807247 77614494 401008219 607980203 802016438 1203024657 1215960406 1384125143 1823940609 2406049314 2768250286 3647881218 4152375429 8304750858 18847386293 37694772586 42907879433 56542158879 65053881721 85815758866 113084317758 128723638299 130107763442 195161645163 257447276598 390323290326 2016670333351 4033340666702 6050011000053 12100022000106