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22121101001103 = 313171371619150427
BaseRepresentation
bin1010000011110011110000…
…10111100000000110001111
32220022202102120012121200220
411001321320113200012033
510344413003324013403
6115014143221522423
74442124335035056
oct501717027400617
986282376177626
1022121101001103
117059562901405
122593273b73413
13c4601ab739c0
1456694a37339d
152856497eb953
hex141e785e018f

22121101001103 has 64 divisors (see below), whose sum is σ = 33898721149440. Its totient is φ = 12710761132032.

The previous prime is 22121101001071. The next prime is 22121101001119. The reversal of 22121101001103 is 30110010112122.

It is not a de Polignac number, because 22121101001103 - 25 = 22121101001071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121101001123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146980176 + ... + 147130602.

It is an arithmetic number, because the mean of its divisors is an integer number (529667517960).

Almost surely, 222121101001103 is an apocalyptic number.

22121101001103 is a deficient number, since it is larger than the sum of its proper divisors (11777620148337).

22121101001103 is a wasteful number, since it uses less digits than its factorization.

22121101001103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152216.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 22121101001103 its reverse (30110010112122), we get a palindrome (52231111113225).

The spelling of 22121101001103 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred one million, one thousand, one hundred three".

Divisors: 1 3 13 17 39 51 137 221 411 663 1619 1781 2329 4857 5343 6987 21047 27523 30277 63141 82569 90831 150427 221803 357799 451281 665409 1073397 1955551 2557259 2883439 3770651 5866653 7671777 8650317 11311953 20608499 33244367 49018463 61825497 99733101 147055389 243541313 267910487 350344483 730623939 803731461 1051033449 3166037069 4140202321 4554478279 9498111207 12420606963 13663434837 33365159881 53822630173 100095479643 161467890519 433747078453 567207717977 1301241235359 1701623153931 7373700333701 22121101001103