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202131223020 = 223258313529533
BaseRepresentation
bin1011110000111111110…
…1011011000111101100
3201022201212120000212100
42330033331123013230
511302431043114040
6232505141335100
720414000022126
oct2741775330754
9638655500770
10202131223020
11787a5895641
1233211407490
13160a3a1c89c
149ad7178216
1553d0607b30
hex2f0ff5b1ec

202131223020 has 72 divisors (see below), whose sum is σ = 620518547376. Its totient is φ = 53252237952.

The previous prime is 202131223009. The next prime is 202131223051. The reversal of 202131223020 is 20322131202.

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 = 202131222984 and 202131223002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6749827 + ... + 6779706.

It is an arithmetic number, because the mean of its divisors is an integer number (8618313158).

Almost surely, 2202131223020 is an apocalyptic number.

202131223020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202131223020 is an abundant number, since it is smaller than the sum of its proper divisors (418387324356).

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

202131223020 is a wasteful number, since it uses less digits than its factorization.

202131223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13529631 (or 13529626 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202131223020 its reverse (20322131202), we get a palindrome (222453354222).

The spelling of 202131223020 in words is "two hundred two billion, one hundred thirty-one million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 13529533 27059066 40588599 54118132 67647665 81177198 121765797 135295330 162354396 202942995 243531594 270590660 405885990 487063188 608828985 811771980 1122951239 1217657970 2245902478 2435315940 3368853717 4491804956 5614756195 6737707434 10106561151 11229512390 13475414868 16844268585 20213122302 22459024780 33688537170 40426244604 50532805755 67377074340 101065611510 202131223020