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10121010222000 = 2435310116701337
BaseRepresentation
bin1001001101000111101100…
…1110000001001110110000
31022211120002121022110101110
42103101323032001032300
52311310312104101000
633305310010033320
72063135032303326
oct223217316011660
938746077273343
1010121010222000
113252329463957
121175629a18840
1358553a71b692
1426dc066c3d16
1512840d948850
hex9347b3813b0

10121010222000 has 160 divisors (see below), whose sum is σ = 32953209591744. Its totient is φ = 2672213760000.

The previous prime is 10121010221989. The next prime is 10121010222017. The reversal of 10121010222000 is 22201012101.

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

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, 7744669 + ... + 8956668.

Almost surely, 210121010222000 is an apocalyptic number.

10121010222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121010222000 is an abundant number, since it is smaller than the sum of its proper divisors (22832199369744).

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

10121010222000 is a wasteful number, since it uses less digits than its factorization.

10121010222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16701464 (or 16701448 counting only the distinct ones).

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

Adding to 10121010222000 its reverse (22201012101), we get a palindrome (10143211234101).

The spelling of 10121010222000 in words is "ten trillion, one hundred twenty-one billion, ten million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 101 120 125 150 200 202 240 250 300 303 375 400 404 500 505 600 606 750 808 1000 1010 1200 1212 1500 1515 1616 2000 2020 2424 2525 3000 3030 4040 4848 5050 6000 6060 7575 8080 10100 12120 12625 15150 20200 24240 25250 30300 37875 40400 50500 60600 75750 101000 121200 151500 202000 303000 606000 16701337 33402674 50104011 66805348 83506685 100208022 133610696 167013370 200416044 250520055 267221392 334026740 400832088 417533425 501040110 668053480 801664176 835066850 1002080220 1252600275 1336106960 1670133700 1686835037 2004160440 2087667125 2505200550 3340267400 3373670074 4008320880 4175334250 5010401100 5060505111 6263001375 6680534800 6747340148 8350668500 8434175185 10020802200 10121010222 12526002750 13494680296 16701337000 16868350370 20041604400 20242020444 25052005500 25302525555 26989360592 33402674000 33736700740 40484040888 42170875925 50104011000 50605051110 67473401480 80968081776 84341751850 100208022000 101210102220 126512627775 134946802960 168683503700 202420204440 210854379625 253025255550 337367007400 404840408880 421708759250 506050511100 632563138875 674734014800 843417518500 1012101022200 1265126277750 1686835037000 2024202044400 2530252555500 3373670074000 5060505111000 10121010222000