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10200111212121 = 3791492521114577
BaseRepresentation
bin1001010001101110011000…
…0000010110011001011001
31100010010021021210002200020
42110123212000112121121
52314104311432241441
633405511050501053
72101635156522015
oct224334600263131
940103237702606
1010200111212121
11328292a954566
121188a24734789
1358cb3551568c
1427398bcbd545
1512a4dd033e66
hex946e6016659

10200111212121 has 32 divisors (see below), whose sum is σ = 13870354368000. Its totient is φ = 6666233333760.

The previous prime is 10200111212069. The next prime is 10200111212153. The reversal of 10200111212121 is 12121211100201.

It is a happy number.

It is not a de Polignac number, because 10200111212121 - 231 = 10197963728473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10200111212121.

It is not an unprimeable number, because it can be changed into a prime (10200111212321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 88966785 + ... + 89081361.

It is an arithmetic number, because the mean of its divisors is an integer number (433448574000).

Almost surely, 210200111212121 is an apocalyptic number.

It is an amenable number.

10200111212121 is a deficient number, since it is larger than the sum of its proper divisors (3670243155879).

10200111212121 is a wasteful number, since it uses less digits than its factorization.

10200111212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117329.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10200111212121 its reverse (12121211100201), we get a palindrome (22321322312322).

The spelling of 10200111212121 in words is "ten trillion, two hundred billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 79 149 237 447 2521 7563 11771 35313 114577 199159 343731 375629 597477 1126887 9051583 17071973 27154749 29674691 51215919 89024073 288848617 866545851 1348685867 4046057601 22819040743 43038443933 68457122229 129115331799 3400037070707 10200111212121