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100022202011220 = 223537347211297631
BaseRepresentation
bin10110101111100000111011…
…110100100000111001010100
3111010011000210020022120001120
4112233200323310200321110
5101102230432203324340
6552421322032523540
730032236260133026
oct2657407364407124
9433130706276046
10100022202011220
11299631a5509885
12b274b810b05b0
1343a708caa77a8
141a9b15973a016
15b86c18a034d0
hex5af83bd20e54

100022202011220 has 96 divisors (see below), whose sum is σ = 287639919092736. Its totient is φ = 25950939033600.

The previous prime is 100022202011189. The next prime is 100022202011231. The reversal of 100022202011220 is 22110202220001.

100022202011220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 100022202011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76431805 + ... + 77729435.

It is an arithmetic number, because the mean of its divisors is an integer number (2996249157216).

Almost surely, 2100022202011220 is an apocalyptic number.

100022202011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022202011220 is an abundant number, since it is smaller than the sum of its proper divisors (187617717081516).

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

100022202011220 is a wasteful number, since it uses less digits than its factorization.

100022202011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332401 (or 1332399 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100022202011220 its reverse (22110202220001), we get a palindrome (122132404231221).

The spelling of 100022202011220 in words is "one hundred trillion, twenty-two billion, two hundred two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 34721 69442 104163 138884 173605 208326 347210 416652 520815 694420 1041630 1284677 1297631 2083260 2569354 2595262 3854031 3892893 5138708 5190524 6423385 6488155 7708062 7785786 12846770 12976310 15416124 15571572 19270155 19464465 25693540 25952620 38540310 38928930 48012347 77080620 77857860 96024694 144037041 192049388 240061735 288074082 480123470 576148164 720185205 960246940 1440370410 2880740820 45055045951 90110091902 135165137853 180220183804 225275229755 270330275706 450550459510 540660551412 675825689265 901100919020 1351651378530 1667036700187 2703302757060 3334073400374 5001110100561 6668146800748 8335183500935 10002220201122 16670367001870 20004440402244 25005550502805 33340734003740 50011101005610 100022202011220