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22101202002 = 2311217193072
BaseRepresentation
bin10100100101010101…
…011001010001010010
32010001021022101112010
4110211111121101102
5330230401431002
614053025243350
71411455055155
oct244525312122
963037271463
1022101202002
119411609200
124349793556
132112ac6929
1410d93a5c9c
1589546e46c
hex525559452

22101202002 has 144 divisors (see below), whose sum is σ = 54328669920. Its totient is φ = 5952165120.

The previous prime is 22101201973. The next prime is 22101202003. The reversal of 22101202002 is 20020210122.

It is not an unprimeable number, because it can be changed into a prime (22101202003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71990733 + ... + 71991039.

It is an arithmetic number, because the mean of its divisors is an integer number (377282430).

Almost surely, 222101202002 is an apocalyptic number.

22101202002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27164334960).

22101202002 is an abundant number, since it is smaller than the sum of its proper divisors (32227467918).

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

22101202002 is a wasteful number, since it uses less digits than its factorization.

22101202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22101202002 its reverse (20020210122), we get a palindrome (42121412124).

It can be divided in two parts, 2210120 and 2002, that added together give a palindrome (2212122).

The spelling of 22101202002 in words is "twenty-two billion, one hundred one million, two hundred two thousand, two".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 121 187 209 242 307 323 363 374 418 561 614 627 646 726 921 969 1122 1254 1842 1938 2057 2299 3377 3553 4114 4598 5219 5833 6171 6754 6897 7106 10131 10438 10659 11666 12342 13794 15657 17499 20262 21318 31314 34998 37147 39083 57409 64163 74294 78166 94249 99161 111441 114818 117249 128326 172227 188498 192489 198322 222882 234498 282747 297483 344454 384978 565494 594966 631499 705793 1036739 1090771 1262998 1411586 1602233 1790731 1894497 2073478 2117379 2181542 3110217 3204466 3272313 3581462 3788994 4234758 4806699 5372193 6220434 6544626 9613398 10744386 11404129 11998481 17624563 19698041 22808258 23996962 30442427 34212387 35249126 35995443 39396082 52873689 59094123 60884854 68424774 71990886 91327281 105747378 118188246 182654562 193870193 216678451 334866697 387740386 433356902 581610579 650035353 669733394 1004600091 1163221158 1300070706 2009200182 3683533667 7367067334 11050601001 22101202002