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100022100222 = 231131374330727
BaseRepresentation
bin101110100100111001…
…0000010000011111110
3100120011201020011001110
41131021302002003332
53114321124201342
6113541032422450
710140432552432
oct1351162020376
9316151204043
10100022100222
1139467960350
1217475247a26
139580279ab5
144babd749c2
152906152c9c
hex1749c820fe

100022100222 has 128 divisors (see below), whose sum is σ = 236746211328. Its totient is φ = 27874627200.

The previous prime is 100022100193. The next prime is 100022100239. The reversal of 100022100222 is 222001220001.

It is a junction number, because it is equal to n+sod(n) for n = 100022100198 and 100022100207.

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, 3239823 + ... + 3270549.

It is an arithmetic number, because the mean of its divisors is an integer number (1849579776).

Almost surely, 2100022100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118373105664).

100022100222 is an abundant number, since it is smaller than the sum of its proper divisors (136724111106).

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

100022100222 is a wasteful number, since it uses less digits than its factorization.

100022100222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30854.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100022100222 its reverse (222001220001), we get a palindrome (322023320223).

The spelling of 100022100222 in words is "one hundred billion, twenty-two million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 37 43 62 66 74 86 93 111 129 186 222 258 341 407 473 682 814 946 1023 1147 1221 1333 1419 1591 2046 2294 2442 2666 2838 3182 3441 3999 4773 6882 7998 9546 12617 14663 17501 25234 29326 30727 35002 37851 43989 49321 52503 61454 75702 87978 92181 98642 105006 147963 184362 295926 337997 542531 675994 952537 1013991 1085062 1136899 1321261 1627593 1905074 2027982 2273798 2642522 2857611 3255186 3410697 3963783 5715222 6821394 7927566 10477907 12505889 14533871 20955814 25011778 29067742 31433721 35243869 37517667 40959091 43601613 48886657 62867442 70487738 75035334 81918182 87203226 97773314 105731607 122877273 146659971 211463214 245754546 293319942 387682559 450550001 537753227 775365118 901100002 1075506454 1163047677 1351650003 1515486367 1613259681 2326095354 2703300006 3030972734 3226519362 4546459101 9092918202 16670350037 33340700074 50011050111 100022100222