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100022201212110 = 2351711231234314149
BaseRepresentation
bin10110101111100000111011…
…110001011101110011001110
3111010011000210011210221212220
4112233200323301131303032
5101102230432002241420
6552421322003440210
730032236250264202
oct2657407361356316
9433130704727786
10100022201212110
11299631a5013461
12b274b80986066
1343a708c887b48
141a9b1595acb02
15b86c188e6840
hex5af83bc5dcce

100022201212110 has 128 divisors (see below), whose sum is σ = 254438991590400. Its totient is φ = 25077452691456.

The previous prime is 100022201212097. The next prime is 100022201212117. The reversal of 100022201212110 is 11212102220001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100022201212110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022201212117) 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, 7069199316 + ... + 7069213464.

It is an arithmetic number, because the mean of its divisors is an integer number (1987804621800).

Almost surely, 2100022201212110 is an apocalyptic number.

100022201212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022201212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127219495795200).

100022201212110 is an abundant number, since it is smaller than the sum of its proper divisors (154416790378290).

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

100022201212110 is a wasteful number, since it uses less digits than its factorization.

100022201212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27642.

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

Adding to 100022201212110 its reverse (11212102220001), we get a palindrome (111234303432111).

The spelling of 100022201212110 in words is "one hundred trillion, twenty-two billion, two hundred one million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 1123 2246 3369 5615 6738 11230 12343 14149 16845 19091 24686 28298 33690 37029 38182 42447 57273 61715 70745 74058 84894 95455 114546 123430 141490 185145 190910 209831 212235 240533 286365 370290 419662 424470 481066 572730 629493 721599 1049155 1202665 1258986 1443198 2098310 2405330 3147465 3607995 6294930 7215990 13861189 15889327 27722378 31778654 41583567 47667981 69305945 79446635 83167134 95335962 138611890 158893270 174641107 207917835 235640213 238339905 270118559 349282214 415835670 471280426 476679810 523923321 540237118 706920639 810355677 873205535 1047846642 1178201065 1350592795 1413841278 1620711354 1746411070 2356402130 2619616605 2701185590 2968898819 3534603195 4051778385 5239233210 5937797638 7069206390 8103556770 8906696457 14844494095 17813392914 29688988190 44533482285 89066964570 196121963161 392243926322 588365889483 980609815805 1176731778966 1961219631610 2941829447415 3334073373737 5883658894830 6668146747474 10002220121211 16670366868685 20004440242422 33340733737370 50011100606055 100022201212110