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10000222101120 = 27358958521899
BaseRepresentation
bin1001000110000101101110…
…1011111001111010000000
31022102000022200011011021210
42101201123223321322000
52302320423324213440
633134012201250120
72051330553231366
oct221413353717200
938360280134253
1010000222101120
113206085741969
12115613a193940
1357702b1803c4
14268028825636
151251de6b5a80
hex9185baf9e80

10000222101120 has 128 divisors (see below), whose sum is σ = 32233862520000. Its totient is φ = 2636762636288.

The previous prime is 10000222101109. The next prime is 10000222101157. The reversal of 10000222101120 is 2110122200001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10000222101096 and 10000222101105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29090070 + ... + 29431829.

Almost surely, 210000222101120 is an apocalyptic number.

10000222101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000222101120 is an abundant number, since it is smaller than the sum of its proper divisors (22233640418880).

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

10000222101120 is an equidigital number, since it uses as much as digits as its factorization.

10000222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58522010 (or 58521998 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000222101120 its reverse (2110122200001), we get a palindrome (12110344301121).

The spelling of 10000222101120 in words is "ten trillion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 128 160 178 192 240 267 320 356 384 445 480 534 640 712 890 960 1068 1335 1424 1780 1920 2136 2670 2848 3560 4272 5340 5696 7120 8544 10680 11392 14240 17088 21360 28480 34176 42720 56960 85440 170880 58521899 117043798 175565697 234087596 292609495 351131394 468175192 585218990 702262788 877828485 936350384 1170437980 1404525576 1755656970 1872700768 2340875960 2809051152 3511313940 3745401536 4681751920 5208449011 5618102304 7022627880 7490803072 9363503840 10416898022 11236204608 14045255760 15625347033 18727007680 20833796044 22472409216 26042245055 28090511520 31250694066 37454015360 41667592088 52084490110 56181023040 62501388132 78126735165 83335184176 104168980220 112362046080 125002776264 156253470330 166670368352 208337960440 250005552528 312506940660 333340736704 416675920880 500011105056 625013881320 666681473408 833351841760 1000022210112 1250027762640 1666703683520 2000044420224 2500055525280 3333407367040 5000111050560 10000222101120