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1022120200038 = 2371910735333911
BaseRepresentation
bin11101101111110110001…
…11001000011101100110
310121201021022111000102010
432313323013020131212
5113221300232400123
62101315555055050
7133563043231110
oct16677307103546
93551238430363
101022120200038
1136452a22a653
12146115ba1486
1375501cb47c2
14376841563b0
151b8c36d9993
hexedfb1c8766

1022120200038 has 128 divisors (see below), whose sum is σ = 2489325281280. Its totient is φ = 273293982720.

The previous prime is 1022120200037. The next prime is 1022120200039. The reversal of 1022120200038 is 8300020212201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022120200037) and next prime (1022120200039).

It is a super-2 number, since 2×10221202000382 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1022120199987 and 1022120200023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022120200037) 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, 30124303 + ... + 30158213.

It is an arithmetic number, because the mean of its divisors is an integer number (19447853760).

Almost surely, 21022120200038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022120200038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244662640640).

1022120200038 is an abundant number, since it is smaller than the sum of its proper divisors (1467205081242).

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

1022120200038 is a wasteful number, since it uses less digits than its factorization.

1022120200038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34402.

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

Adding to 1022120200038 its reverse (8300020212201), we get a palindrome (9322140412239).

The spelling of 1022120200038 in words is "one trillion, twenty-two billion, one hundred twenty million, two hundred thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 107 114 133 214 266 321 353 399 642 706 749 798 1059 1498 2033 2118 2247 2471 4066 4494 4942 6099 6707 7413 12198 13414 14231 14826 20121 28462 33911 37771 40242 42693 46949 67822 75542 85386 93898 101733 113313 140847 203466 226626 237377 264397 281694 474754 528794 644309 712131 717649 793191 1288618 1424262 1435298 1586382 1932927 2152947 3628477 3865854 4305894 4510163 5023543 7256954 9020326 10047086 10885431 11970583 13530489 15070629 21770862 23941166 25399339 27060978 30141258 35911749 50798678 68941063 71823498 76198017 83794081 137882126 152396034 167588162 206823189 227441077 251382243 413646378 454882154 482587441 502764486 682323231 965174882 1280852381 1364646462 1447762323 1592087539 2561704762 2895524646 3184175078 3842557143 4776262617 7685114286 8965966667 9552525234 17931933334 24336195239 26897900001 48672390478 53795800002 73008585717 146017171434 170353366673 340706733346 511060100019 1022120200038