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100000222221120 = 2635138012838319
BaseRepresentation
bin10110101111001100011101…
…101110010001001101000000
3111010001221001102110112100120
4112233030131232101031000
5101101400423342033440
6552403245021420240
730030530505036234
oct2657143556211500
9433057042415316
10100000222221120
11299549464971a1
12b27086810a680
1343a4c991b0630
141a9a07253a5c4
15b8637e067dd0
hex5af31db91340

100000222221120 has 112 divisors (see below), whose sum is σ = 341923836791040. Its totient is φ = 24615439312896.

The previous prime is 100000222221091. The next prime is 100000222221121. The reversal of 100000222221120 is 21122222000001.

It is a super-5 number, since 5×1000002222211205 (a number of 71 digits) contains 55555 as substring.

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 100000222221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000222221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4006406680 + ... + 4006431639.

It is an arithmetic number, because the mean of its divisors is an integer number (3052891399920).

Almost surely, 2100000222221120 is an apocalyptic number.

100000222221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000222221120 is an abundant number, since it is smaller than the sum of its proper divisors (241923614569920).

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

100000222221120 is a wasteful number, since it uses less digits than its factorization.

100000222221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012838352 (or 8012838342 counting only the distinct ones).

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

Adding to 100000222221120 its reverse (21122222000001), we get a palindrome (121122444221121).

The spelling of 100000222221120 in words is "one hundred trillion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 8012838319 16025676638 24038514957 32051353276 40064191595 48077029914 64102706552 80128383190 96154059828 104166898147 120192574785 128205413104 160256766380 192308119656 208333796294 240385149570 256410826208 312500694441 320513532760 384616239312 416667592588 480770299140 512821652416 520834490735 625001388882 641027065520 769232478624 833335185176 961540598280 1041668981470 1250002777764 1282054131040 1538464957248 1562503472205 1666670370352 1923081196560 2083337962940 2500005555528 2564108262080 3125006944410 3333340740704 3846162393120 4166675925880 5000011111056 6250013888820 6666681481408 7692324786240 8333351851760 10000022222112 12500027777640 16666703703520 20000044444224 25000055555280 33333407407040 50000111110560 100000222221120