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202312113133020 = 2235111473120808737
BaseRepresentation
bin101110000000000001110101…
…101000110001010111011100
3222112022211221000101211221220
4232000001311220301113130
5203004140201430224040
61554140522434053340
760420365522552652
oct5600016550612734
9875284830354856
10202312113133020
11595100a3663570
121a83553941a250
1388b6c48077a87
1437d5d5c282dd2
15185c907d972d0
hexb80075a315dc

202312113133020 has 96 divisors (see below), whose sum is σ = 618013525683456. Its totient is φ = 49042029004800.

The previous prime is 202312113132991. The next prime is 202312113133021. The reversal of 202312113133020 is 20331311213202.

It is a super-2 number, since 2×2023121131330202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202312113133021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681909 + ... + 20126828.

It is an arithmetic number, because the mean of its divisors is an integer number (6437640892536).

Almost surely, 2202312113133020 is an apocalyptic number.

202312113133020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202312113133020 is an abundant number, since it is smaller than the sum of its proper divisors (415701412550436).

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

202312113133020 is a wasteful number, since it uses less digits than its factorization.

202312113133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20823491 (or 20823489 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 202312113133020 its reverse (20331311213202), we get a palindrome (222643424346222).

The spelling of 202312113133020 in words is "two hundred two trillion, three hundred twelve billion, one hundred thirteen million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 14731 29462 44193 58924 73655 88386 147310 162041 176772 220965 294620 324082 441930 486123 648164 810205 883860 972246 1620410 1944492 2430615 3240820 4861230 9722460 20808737 41617474 62426211 83234948 104043685 124852422 208087370 228896107 249704844 312131055 416174740 457792214 624262110 686688321 915584428 1144480535 1248524220 1373376642 2288961070 2746753284 3433441605 4577922140 6866883210 13733766420 306533504747 613067009494 919600514241 1226134018988 1532667523735 1839201028482 3065335047470 3371868552217 3678402056964 4598002571205 6130670094940 6743737104434 9196005142410 10115605656651 13487474208868 16859342761085 18392010284820 20231211313302 33718685522170 40462422626604 50578028283255 67437371044340 101156056566510 202312113133020