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200111122212222 = 2313531091632724499
BaseRepresentation
bin101101100000000000000000…
…010110101110010101111110
3222020112102210011200022201010
4231200000000112232111332
5202212110034241242342
61545333440324100050
760102360104452644
oct5540000026562576
9866472704608633
10200111122212222
115884171766a081
121a53aa61b34626
138787523115a90
14375b603c89194
15182053995929c
hexb600005ae57e

200111122212222 has 128 divisors (see below), whose sum is σ = 445888618560000. Its totient is φ = 59489435625984.

The previous prime is 200111122212203. The next prime is 200111122212257. The reversal of 200111122212222 is 222212221111002.

It is a super-2 number, since 2×2001111222122222 (a number of 29 digits) contains 22 as substring.

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, 72086529 + ... + 74811027.

It is an arithmetic number, because the mean of its divisors is an integer number (3483504832500).

Almost surely, 2200111122212222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200111122212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222944309280000).

200111122212222 is an abundant number, since it is smaller than the sum of its proper divisors (245777496347778).

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

200111122212222 is a wasteful number, since it uses less digits than its factorization.

200111122212222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724842.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 200111122212222 its reverse (222212221111002), we get a palindrome (422323343323224).

The spelling of 200111122212222 in words is "two hundred trillion, one hundred eleven billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 109 159 163 218 318 326 327 489 654 689 978 1378 1417 2067 2119 2834 4134 4238 4251 5777 6357 8502 8639 11554 12714 17278 17331 17767 25917 34662 35534 51834 53301 75101 106602 112307 150202 224614 225303 230971 336921 450606 461942 673842 692913 941651 1385826 1883302 2724499 2824953 5448998 5649906 8173497 12241463 16346994 24482926 35418487 36724389 70836974 73448778 106255461 144398447 212510922 288796894 296970391 433195341 444093337 593940782 866390682 888186674 890911173 1332280011 1781822346 1877179811 2664560022 3754359622 3860615083 5631539433 5773213381 7721230166 11263078866 11546426762 11581845249 15739430723 17319640143 23163690498 23536946861 31478861446 34639280286 47073893722 47218292169 48406173733 70610840583 94436584338 96812347466 141221681166 145218521199 204612599399 290437042398 305980309193 409225198798 611960618386 613837798197 629280258529 917940927579 1227675596394 1258560517058 1835881855158 1887840775587 2565527207849 3775681551174 5131054415698 7696581623547 15393163247094 33351853702037 66703707404074 100055561106111 200111122212222