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2122102019973 = 313412591393947
BaseRepresentation
bin11110111000010111001…
…000110001011110000101
321111212111221100010210010
4132320113020301132011
5234232031104114343
64302514043020433
7306213444356415
oct36702710613605
97455457303703
102122102019973
11748a842a36a1
122a333b80a719
13125162095b30
14749d304a645
153a302798d33
hex1ee17231785

2122102019973 has 96 divisors (see below), whose sum is σ = 3199850841600. Its totient is φ = 1243137738240.

The previous prime is 2122102019953. The next prime is 2122102019977. The reversal of 2122102019973 is 3799102012212.

It is a happy number.

It is not a de Polignac number, because 2122102019973 - 221 = 2122099922821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122102019977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 537647386 + ... + 537651332.

It is an arithmetic number, because the mean of its divisors is an integer number (33331779600).

Almost surely, 22122102019973 is an apocalyptic number.

It is an amenable number.

2122102019973 is a deficient number, since it is larger than the sum of its proper divisors (1077748821627).

2122102019973 is a wasteful number, since it uses less digits than its factorization.

2122102019973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 2122102019973 in words is "two trillion, one hundred twenty-two billion, one hundred two million, nineteen thousand, nine hundred seventy-three".

Divisors: 1 3 13 39 41 59 123 139 177 417 533 767 1599 1681 1807 2301 2419 3947 5043 5421 5699 7257 8201 11841 17097 21853 24603 31447 51311 65559 74087 94341 99179 106613 153933 161827 222261 232873 233659 297537 319839 336241 485481 548633 698619 700977 1008723 1289327 1645899 2103751 3027349 3037567 3867981 4371133 6311253 6634907 7132229 9082047 9112701 9547793 13113399 13785881 19904721 21396687 22493953 28643379 32369347 41357643 67481859 86253791 97108041 124121309 179216453 258761373 292421389 372363927 391459513 420801511 537649359 877264167 922252073 1174378539 1262404533 1327143227 2766756219 3981429681 5088973669 11989276949 15266921007 17252861951 35967830847 51758585853 54412872307 163238616921 707367339991 2122102019973