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100111121220222 = 232713191973930517
BaseRepresentation
bin10110110000110011101111…
…110100011000001001111110
3111010110112022011111101122200
4112300303233310120021332
5101110210034013021342
6552530225244052330
730041534624006310
oct2660635764301176
9433415264441580
10100111121220222
1129997985045672
12b28a257b340a6
1343b2590a13468
141aa1592c997b0
15b891c004094c
hex5b0cefd1827e

100111121220222 has 96 divisors (see below), whose sum is σ = 248102843788800. Its totient is φ = 28579107489984.

The previous prime is 100111121220221. The next prime is 100111121220263. The reversal of 100111121220222 is 222022121111001.

100111121220222 is a `hidden beast` number, since 100 + 1 + 1 + 1 + 121 + 220 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100111121220195 and 100111121220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111121220221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3280488108 + ... + 3280518624.

It is an arithmetic number, because the mean of its divisors is an integer number (2584404622800).

Almost surely, 2100111121220222 is an apocalyptic number.

100111121220222 is an abundant number, since it is smaller than the sum of its proper divisors (147991722568578).

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

100111121220222 is a wasteful number, since it uses less digits than its factorization.

100111121220222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51590 (or 51587 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100111121220222 its reverse (222022121111001), we get a palindrome (322133242331223).

The spelling of 100111121220222 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1319 2638 3957 7914 9233 11871 18466 19739 23742 27699 30517 39478 55398 59217 61034 83097 91551 118434 138173 166194 177651 183102 213619 274653 276346 355302 414519 427238 549306 640857 829038 1243557 1281714 1922571 2487114 3845142 26035741 40251923 52071482 78107223 80503846 120755769 156214446 182250187 234321669 241511538 281763461 362267307 364500374 468643338 546750561 563526922 602375063 724534614 845290383 1093501122 1204750126 1640251683 1690580766 1807125189 2535871149 3280503366 3614250378 4216625441 5071742298 5421375567 8433250882 10842751134 12649876323 25299752646 37949628969 75899257938 794532708097 1589065416194 2383598124291 4767196248582 5561728956679 7150794372873 11123457913358 14301588745746 16685186870037 33370373740074 50055560610111 100111121220222