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22201001002012 = 22719433499277363
BaseRepresentation
bin1010000110001000100101…
…10001110100010000011100
32220121101122221011012201211
411003010102301310100130
510402220122224031022
6115114555444114204
74450653333610120
oct503042261642034
986541587135654
1022201001002012
11708a434317708
1225a6852395964
13c50712365551
1456a769b1b580
15287774115e77
hex143112c7441c

22201001002012 has 96 divisors (see below), whose sum is σ = 47839742720000. Its totient is φ = 8801765767872.

The previous prime is 22201001002003. The next prime is 22201001002051. The reversal of 22201001002012 is 21020010010222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22201001001983 and 22201001002001.

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 31 ways as a sum of consecutive naturals, for example, 79904443 + ... + 80181805.

Almost surely, 222201001002012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201001002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23919871360000).

22201001002012 is an abundant number, since it is smaller than the sum of its proper divisors (25638741717988).

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

22201001002012 is a wasteful number, since it uses less digits than its factorization.

22201001002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280935 (or 280933 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22201001002012 its reverse (21020010010222), we get a palindrome (43221011012234).

The spelling of 22201001002012 in words is "twenty-two trillion, two hundred one billion, one million, two thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 3268 3499 5719 6998 11438 13996 22876 24493 48986 66481 97972 132962 150457 265924 277363 300914 465367 554726 601828 930734 1053199 1109452 1861468 1941541 2106398 2858683 3883082 4212796 5269897 5717366 7766164 10539794 11434732 11926609 20010781 21079588 23853218 36889279 40021562 47706436 73778558 80043124 83486263 147557116 166972526 226605571 333945052 453211142 906422284 970493137 1586238997 1940986274 3172477994 3881972548 6344955988 6793451959 13586903918 18439369603 27173807836 36878739206 41731204891 73757478412 83462409782 129075587221 166924819564 258151174442 292118434237 516302348884 584236868474 792892892929 1168473736948 1585785785858 3171571571716 5550250250503 11100500501006 22201001002012