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101002122200002 = 24161893314331583
BaseRepresentation
bin10110111101110001100011…
…100111011000001111000010
3111020121201010120000212212211
4112331301203213120033002
5101214304321240400002
6554451422343212334
730163106513246302
oct2675614347301702
9436551116025784
10101002122200002
112a200839953371
12b3b2a7a4470aa
1344485c7ca321a
141ad2759043602
15ba246c4d5dd7
hex5bdc639d83c2

101002122200002 has 128 divisors (see below), whose sum is σ = 160467739407360. Its totient is φ = 47631919104000.

The previous prime is 101002122199997. The next prime is 101002122200003. The reversal of 101002122200002 is 200002221200101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101002122200003) 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, 63804245703 + ... + 63804247285.

It is an arithmetic number, because the mean of its divisors is an integer number (1253654214120).

Almost surely, 2101002122200002 is an apocalyptic number.

101002122200002 is a deficient number, since it is larger than the sum of its proper divisors (59465617207358).

101002122200002 is a wasteful number, since it uses less digits than its factorization.

101002122200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101002122200002 its reverse (200002221200101), we get a palindrome (301004343400103).

Subtracting 101002122200002 from its reverse (200002221200101), we obtain a palindrome (99000099000099).

The spelling of 101002122200002 in words is "one hundred one trillion, two billion, one hundred twenty-two million, two hundred thousand, two".

Divisors: 1 2 41 61 82 89 122 178 331 433 662 866 1583 2501 3166 3649 5002 5429 7298 10858 13571 17753 20191 26413 27142 29459 35506 38537 40382 52826 58918 64903 77074 96563 129806 140887 143323 193126 222589 281774 286646 445178 523973 685439 827831 1047946 1082933 1207819 1370878 1580017 1655662 1796999 2165866 2350757 2415638 3160034 3593998 3959083 4701514 5776367 5876243 7918166 8594107 8742703 11552734 11752486 12755747 17188214 17485406 21482893 25511494 28102999 31962353 41811779 42965786 46633597 56205998 61004071 63924706 73676959 83623558 93267194 96381037 122008142 147353918 192762074 226880309 352358387 358450823 453760618 522985627 704716774 716901646 778100567 1045971254 1310456473 1556201134 1714282939 1911977477 2501166911 2620912946 2844649417 3428565878 3721248331 3823954954 5002333822 5689298834 7442496662 9302092669 13839698849 18604185338 20192347501 27679397698 31902123247 40384695002 63804246494 116630626097 152571181571 233261252194 305142363142 567427652809 827886247541 1134855305618 1231733197561 1655772495082 2463466395122 50501061100001 101002122200002