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10200020212221 = 3747731071323053
BaseRepresentation
bin1001010001101110000010…
…0101001101100111111101
31100010010000221112211021120
42110123200211031213331
52314104120133242341
633405454040221153
72101633003163130
oct224334045154775
940103027484246
1010200020212221
11328289354aa34
1211889ba16a7b9
1358cb1c703598
1427397db92217
1512a4d505b066
hex946e094d9fd

10200020212221 has 64 divisors (see below), whose sum is σ = 16241429864448. Its totient is φ = 5573838140928.

The previous prime is 10200020212181. The next prime is 10200020212243. The reversal of 10200020212221 is 12221202000201.

It is not a de Polignac number, because 10200020212221 - 29 = 10200020211709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10200020212221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200020292221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7047931 + ... + 8370983.

It is an arithmetic number, because the mean of its divisors is an integer number (253772341632).

Almost surely, 210200020212221 is an apocalyptic number.

It is an amenable number.

10200020212221 is a deficient number, since it is larger than the sum of its proper divisors (6041409652227).

10200020212221 is a wasteful number, since it uses less digits than its factorization.

10200020212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323290.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10200020212221 its reverse (12221202000201), we get a palindrome (22421222212422).

The spelling of 10200020212221 in words is "ten trillion, two hundred billion, twenty million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 21 47 73 107 141 219 321 329 511 749 987 1533 2247 3431 5029 7811 10293 15087 23433 24017 35203 54677 72051 105609 164031 367117 1101351 1323053 2569819 3969159 7709457 9261371 27784113 62183491 96582869 141566671 186550473 289748607 424700013 435284437 676080083 990966697 1305853311 2028240249 2972900091 4539394843 6653633537 10334366983 13618184529 19960900611 31003100949 31775763901 46575434759 72340568881 95327291703 139726304277 217021706643 485715248201 1457145744603 3400006737407 10200020212221