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2202011221110 = 235172658138593
BaseRepresentation
bin100000000010110010000…
…110001011110001110110
321210111202221121011011020
4200002302012023301312
5242034204333033420
64403331234322010
7315042614360331
oct40026206136166
97714687534136
102202011221110
1177995aa23198
122b6921129306
1312c8584591bc
1478813b0b618
153c42ccce340
hex200b218bc76

2202011221110 has 96 divisors (see below), whose sum is σ = 5614984249632. Its totient is φ = 552563343360.

The previous prime is 2202011221097. The next prime is 2202011221141. The reversal of 2202011221110 is 111221102022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2202011221110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57037974 + ... + 57076566.

It is an arithmetic number, because the mean of its divisors is an integer number (58489419267).

Almost surely, 22202011221110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202011221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807492124816).

2202011221110 is an abundant number, since it is smaller than the sum of its proper divisors (3412973028522).

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

2202011221110 is a wasteful number, since it uses less digits than its factorization.

2202011221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45218 (or 45201 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2202011221110 its reverse (111221102022), we get a palindrome (2313232323132).

The spelling of 2202011221110 in words is "two trillion, two hundred two billion, eleven million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 6581 8670 13162 19743 32905 38593 39486 65810 77186 98715 111877 115779 192965 197430 223754 231558 335631 385930 559385 578895 656081 671262 1118770 1157790 1312162 1678155 1901909 1968243 3280405 3356310 3803818 3936486 5705727 6560810 9509545 9841215 11153377 11411454 19019090 19682430 22306754 28528635 33460131 55766885 57057270 66920262 111533770 167300655 253980533 334601310 507961066 761941599 1269902665 1523883198 2539805330 3809707995 4317669061 7619415990 8635338122 12953007183 21588345305 25906014366 43176690610 64765035915 73400374037 129530071830 146800748074 220201122111 367001870185 440402244222 734003740370 1101005610555 2202011221110