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100212021222222 = 237133734071455973
BaseRepresentation
bin10110110010010001101101…
…111011010101101101001110
3111010211011202001122120112210
4112302101231323111231032
5101113333204413102342
6553044433401211250
730052036206612330
oct2662215573255516
9433734661576483
10100212021222222
1129a26752504578
12b2a5917190b26
1343bbc50b1a460
141aa6405677450
15b8bb282a779c
hex5b246ded5b4e

100212021222222 has 128 divisors (see below), whose sum is σ = 253417190068224. Its totient is φ = 25707666636288.

The previous prime is 100212021222199. The next prime is 100212021222239. The reversal of 100212021222222 is 222222120212001.

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

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, 68100228 + ... + 69556200.

It is an arithmetic number, because the mean of its divisors is an integer number (1979821797408).

Almost surely, 2100212021222222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212021222222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126708595034112).

100212021222222 is an abundant number, since it is smaller than the sum of its proper divisors (153205168846002).

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

100212021222222 is a wasteful number, since it uses less digits than its factorization.

100212021222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459442.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 100212021222222 its reverse (222222120212001), we get a palindrome (322434141434223).

The spelling of 100212021222222 in words is "one hundred trillion, two hundred twelve billion, twenty-one million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 3407 6734 6814 10101 10221 20202 20442 23849 44291 47698 71547 88582 126059 132873 143094 252118 265746 310037 378177 620074 756354 882413 930111 1455973 1638767 1764826 1860222 2647239 2911946 3277534 4367919 4916301 5294478 8735838 9832602 10191811 11471369 18927649 20383622 22942738 30575433 34414107 37855298 53871001 56782947 61150866 68828214 107742002 113565894 132493543 161613003 264987086 323226006 377097007 397480629 700323013 754194014 794961258 1131291021 1400646026 2100969039 2262582042 4201938078 4902261091 4960500011 9804522182 9921000022 14706783273 14881500033 29413566546 29763000066 34723500077 64486500143 69447000154 104170500231 128973000286 183538500407 193459500429 208341000462 367077000814 386919000858 451405501001 550615501221 902811002002 1101231002442 1284769502849 1354216503003 2386000505291 2569539005698 2708433006006 3854308508547 4772001010582 7158001515873 7708617017094 14316003031746 16702003537037 33404007074074 50106010611111 100212021222222