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202012202112 = 2737631711897
BaseRepresentation
bin1011110000100011011…
…1011001010010000000
3201022102120121010212120
42330020313121102000
511302210110431422
6232445250324240
720411023246320
oct2741067312200
9638376533776
10202012202112
1178744692456
1233199589680
1316085179506
149ac5435280
1553c4e4745c
hex2f08dd9480

202012202112 has 128 divisors (see below), whose sum is σ = 613399962240. Its totient is φ = 57703784448.

The previous prime is 202012202009. The next prime is 202012202131. The reversal of 202012202112 is 211202210202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 202012202091 and 202012202100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16974148 + ... + 16986044.

It is an arithmetic number, because the mean of its divisors is an integer number (4792187205).

Almost surely, 2202012202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202012202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306699981120).

202012202112 is an abundant number, since it is smaller than the sum of its proper divisors (411387760128).

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

202012202112 is a wasteful number, since it uses less digits than its factorization.

202012202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18238 (or 18226 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202012202112 its reverse (211202210202), we get a palindrome (413214412314).

The spelling of 202012202112 in words is "two hundred two billion, twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 6317 11897 12634 18951 23794 25268 35691 37902 44219 47588 50536 71382 75804 83279 88438 95176 101072 132657 142764 151608 166558 176876 190352 202144 249837 265314 285528 303216 333116 353752 380704 404288 499674 530628 571056 606432 666232 707504 761408 808576 999348 1061256 1142112 1212864 1332464 1415008 1522816 1998696 2122512 2284224 2425728 2664928 2830016 3997392 4245024 4568448 5329856 5660032 7994784 8490048 10659712 15989568 16980096 31979136 75153349 150306698 225460047 300613396 450920094 526073443 601226792 901840188 1052146886 1202453584 1578220329 1803680376 2104293772 2404907168 3156440658 3607360752 4208587544 4809814336 6312881316 7214721504 8417175088 9619628672 12625762632 14429443008 16834350176 25251525264 28858886016 33668700352 50503050528 67337400704 101006101056 202012202112