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20010121010022 = 231113177119322137
BaseRepresentation
bin1001000110010111110000…
…01001111001101101100110
32121211221121201221002022210
410203023320021321231212
510110321211434310042
6110320304522304250
74133453311132503
oct443137011715546
977757551832283
1020010121010022
116415276713730
1222b2119058086
13b21c3c08ca70
144d26d04c04aa
1524a798698a9c
hex1232f8279b66

20010121010022 has 128 divisors (see below), whose sum is σ = 50483645549568. Its totient is φ = 5193790156800.

The previous prime is 20010121010021. The next prime is 20010121010041. The reversal of 20010121010022 is 22001012101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010121010021) 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, 8625463 + ... + 10696674.

It is an arithmetic number, because the mean of its divisors is an integer number (394403480856).

Almost surely, 220010121010022 is an apocalyptic number.

20010121010022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20010121010022 is an abundant number, since it is smaller than the sum of its proper divisors (30473524539546).

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

20010121010022 is a wasteful number, since it uses less digits than its factorization.

20010121010022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19322254.

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

Adding to 20010121010022 its reverse (22001012101002), we get a palindrome (42011133111024).

It can be divided in two parts, 2001012101002 and 2, that multiplied together give a palindrome (4002024202004).

The spelling of 20010121010022 in words is "twenty trillion, ten billion, one hundred twenty-one million, ten thousand, twenty-two".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 71 78 102 142 143 187 213 221 286 374 426 429 442 561 663 781 858 923 1122 1207 1326 1562 1846 2343 2414 2431 2769 3621 4686 4862 5538 7242 7293 10153 13277 14586 15691 20306 26554 30459 31382 39831 47073 60918 79662 94146 172601 345202 517803 1035606 19322137 38644274 57966411 115932822 212543507 251187781 328476329 425087014 502375562 637630521 656952658 753563343 985428987 1275261042 1371871727 1507126686 1970857974 2743743454 2763065591 3613239619 4115615181 4270192277 5526131182 7226479238 8231230362 8289196773 8540384554 10839718857 12810576831 15090588997 16578393546 17834332451 21679437714 23321819359 25621153662 30181177994 35668664902 45271766991 46643638718 46972115047 53502997353 69965458077 90543533982 93944230094 107005994706 139930916154 140916345141 196177656961 256540012949 281832690282 303183651667 392355313922 513080025898 588532970883 606367303334 769620038847 909550955001 1177065941766 1539240077694 1819101910002 3335020168337 6670040336674 10005060505011 20010121010022