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22111201200102 = 2373124191177351
BaseRepresentation
bin1010000011100001010100…
…10010110000011111100110
32220021210212121222121202120
411001300222102300133212
510344232220001400402
6115005425014450410
74441324115104350
oct501605222603746
986253777877676
1022111201200102
117055342704393
122591370663a06
13c45100b697a1
1456628b6540d0
1528526a6323bc
hex141c2a4b07e6

22111201200102 has 128 divisors (see below), whose sum is σ = 52444863922176. Its totient is φ = 6081566400000.

The previous prime is 22111201200083. The next prime is 22111201200103. The reversal of 22111201200102 is 20100210211122.

It is a super-2 number, since 2×221112012001022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111201200103) 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, 285816727 + ... + 285894077.

It is an arithmetic number, because the mean of its divisors is an integer number (409725499392).

Almost surely, 222111201200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111201200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26222431961088).

22111201200102 is an abundant number, since it is smaller than the sum of its proper divisors (30333662722074).

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

22111201200102 is a wasteful number, since it uses less digits than its factorization.

22111201200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78546.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22111201200102 its reverse (20100210211122), we get a palindrome (42211411411224).

The spelling of 22111201200102 in words is "twenty-two trillion, one hundred eleven billion, two hundred one million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 241 434 482 651 723 911 1302 1446 1687 1822 2733 3374 5061 5466 6377 7471 10122 12754 14942 19131 22413 28241 38262 44826 52297 56482 77351 84723 104594 154702 156891 169446 197687 219551 232053 313782 395374 439102 464106 541457 593061 658653 1082914 1186122 1317306 1536857 1624371 2397881 3073714 3248742 4610571 4795762 6806081 7193643 9221142 13612162 14387286 16785167 18641591 20418243 33570334 37283182 40836486 47642567 50355501 55924773 70466761 95285134 100711002 111849546 130491137 140933522 142927701 211400283 260982274 285855402 391473411 422800566 493267327 577889321 782946822 986534654 1155778642 1479801981 1733667963 2184469591 2959603962 3467335926 4045225247 4368939182 6553408773 8090450494 12135675741 13106817546 15291287137 16982489401 24271351482 30582574274 33964978802 45873861411 50947468203 91747722822 101894936406 118877425807 237754851614 356632277421 526457171431 713264554842 1052914342862 1579371514293 3158743028586 3685200200017 7370400400034 11055600600051 22111201200102