Search a number
-
+
102221212232000 = 265366119330789
BaseRepresentation
bin10111001111100000111011…
…000010110010100101000000
3111101221020211001000002200102
4113033200323002302211000
5101344243020312411000
61001223435425341532
730350144634453311
oct2717407302624500
9441836731002612
10102221212232000
112a630855449004
12b56b1a51978a8
13450655a58c044
141b35766a60608
15bc401d0e23d5
hex5cf83b0b2940

102221212232000 has 112 divisors (see below), whose sum is σ = 253533826799760. Its totient is φ = 40826624256000.

The previous prime is 102221212231967. The next prime is 102221212232017. The reversal of 102221212232000 is 232212122201.

It can be written as a sum of positive squares in 8 ways, for example, as 2992678564096 + 99228533667904 = 1729936^2 + 9961352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 4377395 + ... + 14953394.

Almost surely, 2102221212232000 is an apocalyptic number.

102221212232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221212232000 is an abundant number, since it is smaller than the sum of its proper divisors (151312614567760).

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

102221212232000 is an equidigital number, since it uses as much as digits as its factorization.

102221212232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19331477 (or 19331457 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102221212232000 its reverse (232212122201), we get a palindrome (102453424354201).

The spelling of 102221212232000 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twelve million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 661 800 1000 1322 1600 2000 2644 3305 4000 5288 6610 8000 10576 13220 16525 21152 26440 33050 42304 52880 66100 82625 105760 132200 165250 211520 264400 330500 528800 661000 1057600 1322000 2644000 5288000 19330789 38661578 77323156 96653945 154646312 193307890 309292624 386615780 483269725 618585248 773231560 966539450 1237170496 1546463120 1933078900 2416348625 3092926240 3866157800 4832697250 6185852480 7732315600 9665394500 12777651529 15464631200 19330789000 25555303058 30929262400 38661578000 51110606116 63888257645 77323156000 102221212232 127776515290 154646312000 204442424464 255553030580 319441288225 408884848928 511106061160 638882576450 817769697856 1022212122320 1277765152900 1597206441125 2044424244640 2555530305800 3194412882250 4088848489280 5111060611600 6388825764500 10222121223200 12777651529000 20444242446400 25555303058000 51110606116000 102221212232000