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100220212022010 = 23517596749711667
BaseRepresentation
bin10110110010011001010110…
…001000110000101011111010
3111010211221212220002022112220
4112302121112020300223322
5101114001443234201020
6553052310234344510
730052446165351153
oct2662312610605372
9433757786068486
10100220212022010
1129a2a175a506a3
12b2a742228b136
1343bc957a46052
141aa698140a92a
15b8be573e1240
hex5b2656230afa

100220212022010 has 128 divisors (see below), whose sum is σ = 262859392650240. Its totient is φ = 24357920953344.

The previous prime is 100220212021991. The next prime is 100220212022017. The reversal of 100220212022010 is 10220212022001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100220212022017) 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 63 ways as a sum of consecutive naturals, for example, 22839804 + ... + 26871863.

It is an arithmetic number, because the mean of its divisors is an integer number (2053589005080).

Almost surely, 2100220212022010 is an apocalyptic number.

100220212022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100220212022010 is an abundant number, since it is smaller than the sum of its proper divisors (162639180628230).

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

100220212022010 is a wasteful number, since it uses less digits than its factorization.

100220212022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49711820.

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

Adding to 100220212022010 its reverse (10220212022001), we get a palindrome (110440424044011).

Subtracting from 100220212022010 its reverse (10220212022001), we obtain a palindrome (90000000000009).

The spelling of 100220212022010 in words is "one hundred trillion, two hundred twenty billion, two hundred twelve million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 59 67 85 102 118 134 170 177 201 255 295 335 354 402 510 590 670 885 1003 1005 1139 1770 2006 2010 2278 3009 3417 3953 5015 5695 6018 6834 7906 10030 11390 11859 15045 17085 19765 23718 30090 34170 39530 59295 67201 118590 134402 201603 336005 403206 672010 1008015 2016030 49711667 99423334 149135001 248558335 298270002 497116670 745675005 845098339 1491350010 1690196678 2535295017 2932988353 3330681689 4225491695 5070590034 5865976706 6661363378 8450983390 8798965059 9992045067 12676475085 14664941765 16653408445 17597930118 19984090134 25352950170 29329883530 33306816890 43994825295 49860802001 49960225335 56621588713 87989650590 99721604002 99920450670 113243177426 149582406003 169864766139 196510219651 249304010005 283107943565 299164812006 339729532278 393020439302 498608020010 566215887130 589530658953 747912030015 849323830695 982551098255 1179061317906 1495824060030 1698647661390 1965102196510 2947653294765 3340673734067 5895306589530 6681347468134 10022021202201 16703368670335 20044042404402 33406737340670 50110106011005 100220212022010