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202000202202112 = 2101316592285047
BaseRepresentation
bin101101111011011111010110…
…010010111111110000000000
3222111020000211101221211200121
4231323133112102333300000
5202434032403230431422
61553341340052230024
760356014214441236
oct5573372622776000
9874200741854617
10202000202202112
11593aa894010616
121a7a4bab00b314
1388936ca69b972
1437c4c0d2aa956
15185474ebad8c7
hexb7b7d64bfc00

202000202202112 has 88 divisors (see below), whose sum is σ = 407503212462720. Its totient is φ = 100076971438080.

The previous prime is 202000202202049. The next prime is 202000202202119. The reversal of 202000202202112 is 211202202000202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202000202202119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87258373 + ... + 89543419.

It is an arithmetic number, because the mean of its divisors is an integer number (4630718323440).

Almost surely, 2202000202202112 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 202000202202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203751606231360).

202000202202112 is an abundant number, since it is smaller than the sum of its proper divisors (205503010260608).

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

202000202202112 is a wasteful number, since it uses less digits than its factorization.

202000202202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285857 (or 2285839 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202000202202112 its reverse (211202202000202), we get a palindrome (413202404202314).

The spelling of 202000202202112 in words is "two hundred two trillion, two hundred two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 512 524 659 1024 1048 1318 2096 2636 4192 5272 8384 10544 16768 21088 33536 42176 67072 84352 86329 134144 168704 172658 337408 345316 674816 690632 1381264 2285047 2762528 4570094 5525056 9140188 11050112 18280376 22100224 36560752 44200448 73121504 88400896 146243008 292486016 299341157 584972032 598682314 1169944064 1197364628 1505845973 2339888128 2394729256 3011691946 4789458512 6023383892 9578917024 12046767784 19157834048 24093535568 38315668096 48187071136 76631336192 96374142272 153262672384 192748284544 197265822463 306525344768 385496569088 394531644926 770993138176 789063289852 1541986276352 1578126579704 3156253159408 6312506318816 12625012637632 25250025275264 50500050550528 101000101101056 202000202202112