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21211102111212 = 22321324185033523
BaseRepresentation
bin1001101001010100110000…
…01101001110010111101100
32210002202120011202022010100
410310222120031032113230
510240010314120024322
6113040125031311100
74316310612065046
oct464523015162754
983082504668110
1021211102111212
11683863a195652
122466a2b21b490
13bab2769c8800
145348a1036a96
1526bb39580dac
hex134a9834e5ec

21211102111212 has 108 divisors (see below), whose sum is σ = 59474657557224. Its totient is φ = 6367310127360.

The previous prime is 21211102111151. The next prime is 21211102111217. The reversal of 21211102111212 is 21211120111212.

It is a happy number.

21211102111212 is a `hidden beast` number, since 21 + 211 + 10 + 211 + 1 + 212 = 666.

It is a super-2 number, since 2×212111021112122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21211102111217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42267318 + ... + 42766205.

It is an arithmetic number, because the mean of its divisors is an integer number (550691273678).

Almost surely, 221211102111212 is an apocalyptic number.

It is an amenable number.

21211102111212 is an abundant number, since it is smaller than the sum of its proper divisors (38263555446012).

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

21211102111212 is a wasteful number, since it uses less digits than its factorization.

21211102111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85033600 (or 85033582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21211102111212 its reverse (21211120111212), we get a palindrome (42422222222424).

The spelling of 21211102111212 in words is "twenty-one trillion, two hundred eleven billion, one hundred two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 169 234 246 338 369 468 492 507 533 676 738 1014 1066 1476 1521 1599 2028 2132 3042 3198 4797 6084 6396 6929 9594 13858 19188 20787 27716 41574 62361 83148 124722 249444 85033523 170067046 255100569 340134092 510201138 765301707 1020402276 1105435799 1530603414 2210871598 3061206828 3316307397 3486374443 4421743196 6632614794 6972748886 9948922191 10459123329 13265229588 13945497772 14370665387 19897844382 20918246658 28741330774 31377369987 39795688764 41836493316 43111996161 45322867759 57482661548 62754739974 86223992322 90645735518 125509479948 129335988483 135968603277 172447984644 181291471036 258671976966 271937206554 407905809831 517343953932 543874413108 589197280867 815811619662 1178394561734 1631623239324 1767591842601 2356789123468 3535183685202 5302775527803 7070367370404 10605551055606 21211102111212