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202120433333040 = 24352287073682303
BaseRepresentation
bin101101111101001111010100…
…101000010111001100110000
3222111122112011112001010012210
4231331033110220113030300
5202443020121413124130
61553512502322452120
760400501521256605
oct5575172450271460
9874575145033183
10202120433333040
1159446881390832
121a804364204040
1388a1b4b71cca1
1437ca9771ba6ac
15185793a0bc5b0
hexb7d3d4a17330

202120433333040 has 80 divisors (see below), whose sum is σ = 626576253124608. Its totient is φ = 53898531917568.

The previous prime is 202120433332967. The next prime is 202120433333053. The reversal of 202120433333040 is 40333334021202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 202120433332989 and 202120433333007.

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, 53048529 + ... + 56730831.

Almost surely, 2202120433333040 is an apocalyptic number.

202120433333040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120433333040 is an abundant number, since it is smaller than the sum of its proper divisors (424455819791568).

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

202120433333040 is a wasteful number, since it uses less digits than its factorization.

202120433333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911026 (or 3911020 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 202120433333040 its reverse (40333334021202), we get a palindrome (242453767354242).

The spelling of 202120433333040 in words is "two hundred two trillion, one hundred twenty billion, four hundred thirty-three million, three hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 228707 457414 686121 914828 1143535 1372242 1829656 2287070 2744484 3430605 3659312 3682303 4574140 5488968 6861210 7364606 9148280 10977936 11046909 13722420 14729212 18296560 18411515 22093818 27444840 29458424 36823030 44187636 54889680 55234545 58916848 73646060 88375272 110469090 147292120 176750544 220938180 294584240 441876360 883752720 842168472221 1684336944442 2526505416663 3368673888884 4210842361105 5053010833326 6737347777768 8421684722210 10106021666652 12632527083315 13474695555536 16843369444420 20212043333304 25265054166630 33686738888840 40424086666608 50530108333260 67373477777680 101060216666520 202120433333040