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202122021112020 = 223251278841733207
BaseRepresentation
bin101101111101010000110011…
…010001010000100011010100
3222111122200021011201122111200
4231331100303101100203110
5202443031344401041040
61553513324042232500
760400556051210052
oct5575206321204324
9874580234648450
10202122021112020
1159447516675669
121a804727ab5730
1388a2042667289
1437caa8800d1d2
1518579ce6a5630
hexb7d4334508d4

202122021112020 has 72 divisors (see below), whose sum is σ = 617931050440704. Its totient is φ = 53474802429888.

The previous prime is 202122021112009. The next prime is 202122021112027. The reversal of 202122021112020 is 20211120221202.

It is a happy number.

202122021112020 is a `hidden beast` number, since 20 + 212 + 20 + 211 + 1 + 202 + 0 = 666.

It is a super-2 number, since 2×2021220211120202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 202122021111984 and 202122021112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122021112027) 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, 4420843744 + ... + 4420889463.

Almost surely, 2202122021112020 is an apocalyptic number.

202122021112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122021112020 is an abundant number, since it is smaller than the sum of its proper divisors (415809029328684).

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

202122021112020 is a wasteful number, since it uses less digits than its factorization.

202122021112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8841733349 (or 8841733344 counting only the distinct ones).

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

Adding to 202122021112020 its reverse (20211120221202), we get a palindrome (222333141333222).

The spelling of 202122021112020 in words is "two hundred two trillion, one hundred twenty-two billion, twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 8841733207 17683466414 26525199621 35366932828 44208666035 53050399242 79575598863 88417332070 106100798484 132625998105 159151197726 176834664140 265251996210 318302395452 397877994315 530503992420 795755988630 1122900117289 1591511977260 2245800234578 3368700351867 4491600469156 5614500586445 6737400703734 10106101055601 11229001172890 13474801407468 16843501759335 20212202111202 22458002345780 33687003518670 40424404222404 50530505278005 67374007037340 101061010556010 202122021112020