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100022101202010 = 23513433974817901
BaseRepresentation
bin10110101111100000110101…
…110011111101010001011010
3111010011000112012121220211010
4112233200311303331101122
5101102230230401431020
6552421304032114350
730032233624230441
oct2657406563752132
9433130465556733
10100022101202010
1129963153615389
12b274b533959b6
1343a7074c3c880
141a9b14a1b7d58
15b86c0ec3dde0
hex5af835cfd45a

100022101202010 has 128 divisors (see below), whose sum is σ = 258645538126080. Its totient is φ = 24608745216000.

The previous prime is 100022101201999. The next prime is 100022101202017. The reversal of 100022101202010 is 10202101220001.

100022101202010 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100022101202017) 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, 12659419060 + ... + 12659426960.

It is an arithmetic number, because the mean of its divisors is an integer number (2020668266610).

Almost surely, 2100022101202010 is an apocalyptic number.

100022101202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100022101202010 is an abundant number, since it is smaller than the sum of its proper divisors (158623436924070).

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

100022101202010 is a wasteful number, since it uses less digits than its factorization.

100022101202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19744.

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

Adding to 100022101202010 its reverse (10202101220001), we get a palindrome (110224202422011).

The spelling of 100022101202010 in words is "one hundred trillion, twenty-two billion, one hundred one million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 4339 7481 7901 8678 13017 14962 15802 21695 22443 23703 26034 37405 39505 43390 44886 47406 56407 65085 74810 79010 97253 102713 112215 112814 118515 130170 169221 194506 205426 224430 237030 282035 291759 308139 338442 486265 513565 564070 583518 616278 846105 972530 1027130 1458795 1540695 1692210 2917590 3081390 32460059 34282439 59107381 64920118 68564878 97380177 102847317 118214762 162300295 171412195 177322143 194760354 205694634 295536905 324600590 342824390 354644286 421980767 445671707 486900885 514236585 591073810 768395953 843961534 886610715 891343414 973801770 1028473170 1265942301 1337015121 1536791906 1773221430 2109903835 2228358535 2305187859 2531884602 2674030242 3841979765 4219807670 4456717070 4610375718 6329711505 6685075605 7683959530 11525939295 12659423010 13370151210 23051878590 256466926159 512933852318 769400778477 1282334630795 1538801556954 2564669261590 3334070040067 3847003892385 6668140080134 7694007784770 10002210120201 16670350200335 20004420240402 33340700400670 50011050601005 100022101202010