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10131284495040 = 263529363911081
BaseRepresentation
bin1001001101101101111110…
…0111010000101011000000
31022212112121122011121101120
42103123133213100223000
52311442332312320130
633314125311232240
72063650450214202
oct223333747205300
938775548147346
1010131284495040
113256720a802a5
121177616818680
135864b7199897
142704dd040772
15128810932910
hex936df9d0ac0

10131284495040 has 112 divisors (see below), whose sum is σ = 33276029338080. Its totient is φ = 2608514621440.

The previous prime is 10131284495021. The next prime is 10131284495113. The reversal of 10131284495040 is 4059448213101.

10131284495040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10131284494983 and 10131284495001.

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, 181927701 + ... + 181983380.

Almost surely, 210131284495040 is an apocalyptic number.

10131284495040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131284495040 is an abundant number, since it is smaller than the sum of its proper divisors (23144744843040).

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

10131284495040 is a wasteful number, since it uses less digits than its factorization.

10131284495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363911130 (or 363911120 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10131284495040 in words is "ten trillion, one hundred thirty-one billion, two hundred eighty-four million, four hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2320 2784 3480 4640 5568 6960 9280 13920 27840 363911081 727822162 1091733243 1455644324 1819555405 2183466486 2911288648 3639110810 4366932972 5458666215 5822577296 7278221620 8733865944 10553421349 10917332430 11645154592 14556443240 17467731888 21106842698 21834664860 23290309184 29112886480 31660264047 34935463776 42213685396 43669329720 52767106745 58225772960 63320528094 69870927552 84427370792 87338659440 105534213490 116451545920 126641056188 158301320235 168854741584 174677318880 211068426980 253282112376 316602640470 337709483168 349354637760 422136853960 506564224752 633205280940 675418966336 844273707920 1013128449504 1266410561880 1688547415840 2026256899008 2532821123760 3377094831680 5065642247520 10131284495040