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100203031212220 = 225172234992648479
BaseRepresentation
bin10110110010001001010110…
…000101001011000010111100
3111010210022112112100202020101
4112302021112011023002330
5101113211301442242340
6553040345334130444
730051300345026536
oct2662112605130274
9433708475322211
10100203031212220
1129a22959916a42
12b2a40284b0a24
1343bb14a457301
141aa5bd1702856
15b8b79de00c9a
hex5b225614b0bc

100203031212220 has 96 divisors (see below), whose sum is σ = 224252098560000. Its totient is φ = 37479057122304.

The previous prime is 100203031212199. The next prime is 100203031212227. The reversal of 100203031212220 is 22212130302001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100203031212227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36509941 + ... + 39158419.

It is an arithmetic number, because the mean of its divisors is an integer number (2335959360000).

Almost surely, 2100203031212220 is an apocalyptic number.

100203031212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100203031212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112126049280000).

100203031212220 is an abundant number, since it is smaller than the sum of its proper divisors (124049067347780).

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

100203031212220 is a wasteful number, since it uses less digits than its factorization.

100203031212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649227 (or 2649225 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100203031212220 its reverse (22212130302001), we get a palindrome (122415161514221).

The spelling of 100203031212220 in words is "one hundred trillion, two hundred three billion, thirty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 223 340 446 499 892 998 1115 1996 2230 2495 3791 4460 4990 7582 8483 9980 15164 16966 18955 33932 37910 42415 75820 84830 111277 169660 222554 445108 556385 1112770 1891709 2225540 2648479 3783418 5296958 7566836 9458545 10593916 13242395 18917090 26484790 37834180 45024143 52969580 90048286 180096572 225120715 450241430 590610817 900482860 1181221634 1321591021 2362443268 2643182042 2953054085 5286364084 5906108170 6607955105 10040383889 11812216340 13215910210 20080767778 22467047357 26431820420 40161535556 44934094714 50201919445 89868189428 100403838890 112335236785 200807677780 224670473570 294714797683 449340947140 589429595366 1178859190732 1473573988415 2947147976830 5010151560611 5894295953660 10020303121222 20040606242444 25050757803055 50101515606110 100203031212220