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100120212202010 = 257111336592733539
BaseRepresentation
bin10110110000111100001101…
…101011101110001000011010
3111010111101202201210010012212
4112300330031223232020122
5101110332143310431020
6552534331315235122
730042306123042350
oct2660741553561032
9433441681703185
10100120212202010
11299a081a728860
12b28bb745a8aa2
1343b33ac29a520
141aa1bb63d57d0
15b895531decc5
hex5b0f0daee21a

100120212202010 has 128 divisors (see below), whose sum is σ = 242035066828800. Its totient is φ = 28797932171520.

The previous prime is 100120212201923. The next prime is 100120212202019. The reversal of 100120212202010 is 10202212021001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100120212202019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35259821 + ... + 37993359.

It is an arithmetic number, because the mean of its divisors is an integer number (1890898959600).

Almost surely, 2100120212202010 is an apocalyptic number.

100120212202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100120212202010 is an abundant number, since it is smaller than the sum of its proper divisors (141914854626790).

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

100120212202010 is a wasteful number, since it uses less digits than its factorization.

100120212202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737236.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100120212202010 its reverse (10202212021001), we get a palindrome (110322424223011).

The spelling of 100120212202010 in words is "one hundred trillion, one hundred twenty billion, two hundred twelve million, two hundred two thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 3659 5005 7318 10010 18295 25613 36590 40249 47567 51226 80498 95134 128065 201245 237835 256130 281743 332969 402490 475670 523237 563486 665938 1046474 1408715 1664845 2616185 2733539 2817430 3329690 3662659 5232370 5467078 7325318 13667695 18313295 19134773 27335390 30068929 35536007 36626590 38269546 60137858 71072014 95673865 150344645 177680035 191347730 210482503 248752049 300689290 355360070 390896077 420965006 497504098 781792154 1052412515 1243760245 1954480385 2104825030 2487520490 2736272539 3908960770 5472545078 10002019201 13681362695 20004038402 27362725390 50010096005 70014134407 100020192010 110022211211 130026249613 140028268814 220044422422 260052499226 350070672035 550111056055 650131248065 700141344070 770155478477 910183747291 1100222112110 1300262496130 1430288745743 1540310956954 1820367494582 2860577491486 3850777392385 4550918736455 7151443728715 7701554784770 9101837472910 10012021220201 14302887457430 20024042440402 50060106101005 100120212202010