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100021022202210 = 235371912143220147
BaseRepresentation
bin10110101111011111110101…
…011111111001100101100010
3111010010220202000022001100120
4112233133311133321211202
5101102221023140432320
6552421005005301110
730032165113000434
oct2657376537714542
9433126660261316
10100021022202210
112996274a54390a
12b2748b1b64796
1343a6c32532655
141a9b086b84654
15b86b9a155440
hex5af7f57f9962

100021022202210 has 128 divisors (see below), whose sum is σ = 247945851961344. Its totient is φ = 25803365495040.

The previous prime is 100021022202149. The next prime is 100021022202293. The reversal of 100021022202210 is 12202220120001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100021022202210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 454227357 + ... + 454447503.

It is an arithmetic number, because the mean of its divisors is an integer number (1937076968448).

Almost surely, 2100021022202210 is an apocalyptic number.

100021022202210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021022202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123972925980672).

100021022202210 is an abundant number, since it is smaller than the sum of its proper divisors (147924829759134).

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

100021022202210 is a wasteful number, since it uses less digits than its factorization.

100021022202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222528.

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

Adding to 100021022202210 its reverse (12202220120001), we get a palindrome (112223242322211).

The spelling of 100021022202210 in words is "one hundred trillion, twenty-one billion, twenty-two million, two hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 191 222 370 382 555 573 955 1110 1146 1910 2143 2865 4286 5730 6429 7067 10715 12858 14134 21201 21430 32145 35335 42402 64290 70670 79291 106005 158582 212010 220147 237873 396455 409313 440294 475746 660441 792910 818626 1100735 1189365 1227939 1320882 2046565 2201470 2378730 2455878 3302205 4093130 6139695 6604410 8145439 12279390 15144581 16290878 24436317 30289162 40727195 42048077 45433743 48872634 75722905 81454390 84096154 90867486 122181585 126144231 151445810 210240385 227168715 244363170 252288462 420480770 454337430 471775021 630721155 943550042 1261442310 1415325063 1555778849 2358875105 2830650126 3111557698 4667336547 4717750210 7076625315 7778894245 9334673094 14153250630 15557788490 17455675777 23336682735 34911351554 46673365470 52367027331 87278378885 90109029011 104734054662 174556757770 180218058022 261835136655 270327087033 450545145055 523670273310 540654174066 901090290110 1351635435165 2703270870330 3334034073407 6668068146814 10002102220221 16670170367035 20004204440442 33340340734070 50010511101105 100021022202210