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10011212020212 = 22313241271444289
BaseRepresentation
bin1001000110101110101010…
…1111000111100111110100
31022110001200120121220010020
42101223222233013213310
52303010430234121322
633143030505325140
72052200111060004
oct221535257074764
938401616556106
1010011212020212
11320a805214827
1211582a67967b0
1357808cc88400
1426878c230004
1512563441305c
hex91aeabc79f4

10011212020212 has 144 divisors (see below), whose sum is σ = 26007215351040. Its totient is φ = 2994145689600.

The previous prime is 10011212020157. The next prime is 10011212020231. The reversal of 10011212020212 is 21202021211001.

It is a super-2 number, since 2×100112120202122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011212020191 and 10011212020200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22310964 + ... + 22755252.

It is an arithmetic number, because the mean of its divisors is an integer number (180605662160).

Almost surely, 210011212020212 is an apocalyptic number.

10011212020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011212020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13003607675520).

10011212020212 is an abundant number, since it is smaller than the sum of its proper divisors (15996003330828).

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

10011212020212 is a wasteful number, since it uses less digits than its factorization.

10011212020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444634 (or 444619 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10011212020212 its reverse (21202021211001), we get a palindrome (31213233231213).

The spelling of 10011212020212 in words is "ten trillion, eleven billion, two hundred twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 169 246 271 338 492 507 533 542 676 813 1014 1066 1084 1599 1626 2028 2132 3198 3252 3523 6396 6929 7046 10569 11111 13858 14092 20787 21138 22222 27716 33333 41574 42276 44444 45799 66666 83148 91598 133332 137397 144443 183196 274794 288886 433329 444289 549588 577772 866658 888578 1332867 1733316 1777156 1877759 2665734 3755518 5331468 5633277 5775757 7511036 11266554 11551514 17327271 18215849 22533108 23103028 34654542 36431698 54647547 69309084 72863396 75084841 109295094 120402319 150169682 218590188 225254523 236806037 240804638 300339364 361206957 450509046 473612074 481609276 710418111 722413914 901018092 947224148 1420836222 1444827828 1565230147 2841672444 3078478481 3130460294 4695690441 4936495079 6156956962 6260920588 9235435443 9391380882 9872990158 12313913924 14809485237 18470870886 18782761764 19745980316 20347991911 29618970474 36941741772 40695983822 59237940948 61043975733 64174436027 81391967644 122087951466 128348872054 192523308081 244175902932 256697744108 385046616162 770093232324 834267668351 1668535336702 2502803005053 3337070673404 5005606010106 10011212020212