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21202202012112 = 24321170431900501
BaseRepresentation
bin1001101001000100001011…
…01110000010100111010000
32210001220120220122102101100
410310202011232002213100
510234334102203341422
6113032053535304400
74315544221354212
oct464420556024720
983056526572340
1021202202012112
116834892328450
12246516667b100
13baa488b55b94
14534298dc85b2
1526b7b80397ac
hex134885b829d0

21202202012112 has 120 divisors (see below), whose sum is σ = 64740190121568. Its totient is φ = 6423994080000.

The previous prime is 21202202012111. The next prime is 21202202012161. The reversal of 21202202012112 is 21121020220212.

It is a happy number.

21202202012112 is a `hidden beast` number, since 212 + 0 + 220 + 20 + 1 + 211 + 2 = 666.

It is a super-2 number, since 2×212022020121122 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202202012111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10205862 + ... + 12106362.

Almost surely, 221202202012112 is an apocalyptic number.

21202202012112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21202202012112 is an abundant number, since it is smaller than the sum of its proper divisors (43537988109456).

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

21202202012112 is a wasteful number, since it uses less digits than its factorization.

21202202012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907569 (or 1907560 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21202202012112 its reverse (21121020220212), we get a palindrome (42323222232324).

The spelling of 21202202012112 in words is "twenty-one trillion, two hundred two billion, two hundred two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 7043 14086 21129 28172 42258 56344 63387 77473 84516 112688 126774 154946 169032 232419 253548 309892 338064 464838 507096 619784 697257 929676 1014192 1239568 1394514 1859352 1900501 2789028 3718704 3801002 5578056 5701503 7602004 11156112 11403006 15204008 17104509 20905511 22806012 30408016 34209018 41811022 45612024 62716533 68418036 83622044 91224048 125433066 136836072 167244088 188149599 250866132 273672144 334488176 376299198 501732264 752598396 1003464528 1505196792 3010393584 13385228543 26770457086 40155685629 53540914172 80311371258 107081828344 120467056887 147237513973 160622742516 214163656688 240934113774 294475027946 321245485032 441712541919 481868227548 588950055892 642490970064 883425083838 963736455096 1177900111784 1325137625757 1766850167676 1927472910192 2355800223568 2650275251514 3533700335352 5300550503028 7067400670704 10601101006056 21202202012112