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101222012112 = 24313193840491
BaseRepresentation
bin101111001000101001…
…1010101010011010000
3100200021100001222201120
41132101103111103100
53124300313341422
6114300055002240
710212242623014
oct1362123252320
9320240058646
10101222012112
1139a23206971
121774b069380
139711a40130
144c83480544
15297667245c
hex17914d54d0

101222012112 has 80 divisors (see below), whose sum is σ = 283064257728. Its totient is φ = 30983823360.

The previous prime is 101222012063. The next prime is 101222012159. The reversal of 101222012112 is 211210222101.

It is a junction number, because it is equal to n+sod(n) for n = 101222012091 and 101222012100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299814 + ... + 540677.

Almost surely, 2101222012112 is an apocalyptic number.

101222012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101222012112 is an abundant number, since it is smaller than the sum of its proper divisors (181842245616).

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

101222012112 is a wasteful number, since it uses less digits than its factorization.

101222012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840708 (or 840702 counting only the distinct ones).

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

Adding to 101222012112 its reverse (211210222101), we get a palindrome (312432234213).

The spelling of 101222012112 in words is "one hundred one billion, two hundred twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 193 208 312 386 579 624 772 1158 1544 2316 2509 3088 4632 5018 7527 9264 10036 15054 20072 30108 40144 60216 120432 840491 1680982 2521473 3361964 5042946 6723928 10085892 10926383 13447856 20171784 21852766 32779149 40343568 43705532 65558298 87411064 131116596 162214763 174822128 262233192 324429526 486644289 524466384 648859052 973288578 1297718104 1946577156 2108791919 2595436208 3893154312 4217583838 6326375757 7786308624 8435167676 12652751514 16870335352 25305503028 33740670704 50611006056 101222012112