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10302420042420 = 2235114129285977
BaseRepresentation
bin1001010111101011100000…
…0101100100001010110100
31100110220100100220011200020
42111322320011210022310
52322243324012324140
633524511052045140
72112216400320132
oct225727005441264
940426310804606
1010302420042420
113312260591a80
1211a48177637b0
1359968b46c59c
142788d582a752
1512cec9cd66d0
hex95eb81642b4

10302420042420 has 144 divisors (see below), whose sum is σ = 32255476029504. Its totient is φ = 2436640102400.

The previous prime is 10302420042419. The next prime is 10302420042487. The reversal of 10302420042420 is 2424002420301.

It is a super-2 number, since 2×103024200424202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3533529 + ... + 5752448.

It is an arithmetic number, because the mean of its divisors is an integer number (223996361316).

Almost surely, 210302420042420 is an apocalyptic number.

10302420042420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302420042420 is an abundant number, since it is smaller than the sum of its proper divisors (21953055987084).

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

10302420042420 is a wasteful number, since it uses less digits than its factorization.

10302420042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286082 (or 9286039 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10302420042420 its reverse (2424002420301), we get a palindrome (12726422462721).

The spelling of 10302420042420 in words is "ten trillion, three hundred two billion, four hundred twenty million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1681 1804 2255 2460 2706 3362 4510 5043 5412 6724 6765 8405 9020 10086 13530 16810 18491 20172 25215 27060 33620 36982 50430 55473 73964 92455 100860 110946 184910 221892 277365 369820 554730 1109460 9285977 18571954 27857931 37143908 46429885 55715862 92859770 102145747 111431724 139289655 185719540 204291494 278579310 306437241 380725057 408582988 510728735 557158620 612874482 761450114 1021457470 1142175171 1225748964 1522900228 1532186205 1903625285 2042914940 2284350342 3064372410 3807250570 4187975627 4568700684 5710875855 6128744820 7614501140 8375951254 11421751710 12563926881 15609727337 16751902508 20939878135 22843503420 25127853762 31219454674 41879756270 46829182011 50255707524 62438909348 62819634405 78048636685 83759512540 93658364022 125639268810 156097273370 171707000707 187316728044 234145910055 251278537620 312194546740 343414001414 468291820110 515121002121 686828002828 858535003535 936583640220 1030242004242 1717070007070 2060484008484 2575605010605 3434140014140 5151210021210 10302420042420