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2122231100214 = 2317296117965707
BaseRepresentation
bin11110111000011110110…
…101001011001100110110
321111212211221020002120210
4132320132311023030312
5234232312130201324
64302534533410250
7306216602466561
oct36703665131466
97455757202523
102122231100214
11749040147585
122a3376a99986
13125182a4ba84
1474a0624b4d8
153a30dc94d29
hex1ee1ed4b336

2122231100214 has 128 divisors (see below), whose sum is σ = 4751792294400. Its totient is φ = 628759111680.

The previous prime is 2122231100179. The next prime is 2122231100321. The reversal of 2122231100214 is 4120011322212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32265549 + ... + 32331255.

It is an arithmetic number, because the mean of its divisors is an integer number (37123377300).

Almost surely, 22122231100214 is an apocalyptic number.

2122231100214 is an abundant number, since it is smaller than the sum of its proper divisors (2629561194186).

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

2122231100214 is a wasteful number, since it uses less digits than its factorization.

2122231100214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65998.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2122231100214 its reverse (4120011322212), we get a palindrome (6242242422426).

The spelling of 2122231100214 in words is "two trillion, one hundred twenty-two billion, two hundred thirty-one million, one hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 17 29 34 51 58 61 87 102 122 174 179 183 358 366 493 537 986 1037 1074 1479 1769 2074 2958 3043 3111 3538 5191 5307 6086 6222 9129 10382 10614 10919 15573 18258 21838 30073 31146 32757 60146 65514 65707 88247 90219 131414 176494 180438 185623 197121 264741 316651 371246 394242 529482 556869 633302 949953 1113738 1117019 1899906 1905503 2234038 3351057 3811006 4008127 5383067 5716509 6702114 8016254 10766134 11433018 11761553 12024381 16149201 23523106 24048762 32298402 32393551 35284659 64787102 68138159 70569318 97180653 116235683 136276318 194361306 199946401 204414477 232471366 341085037 348707049 399892802 408828954 599839203 682170074 697414098 717454733 1023255111 1199678406 1434909466 1976006611 2046510222 2152364199 3952013222 4304728398 5798445629 5928019833 11596891258 11856039666 12196730461 17395336887 20806187257 24393460922 34790673774 36590191383 41612374514 62418561771 73180382766 124837123542 353705183369 707410366738 1061115550107 2122231100214