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1010020222120 = 235713475903789
BaseRepresentation
bin11101011001010011110…
…01011000010010101000
310120120001001020110010211
432230221321120102220
5113022010134101440
62051555154350504
7132654146143420
oct16545171302250
93516031213124
101010020222120
1135a3900a20a8
121438b988b434
1374324216560
1436c57151480
151b4162baeea
hexeb29e584a8

1010020222120 has 128 divisors (see below), whose sum is σ = 2856489753600. Its totient is φ = 312853533696.

The previous prime is 1010020222103. The next prime is 1010020222129. The reversal of 1010020222120 is 212220200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1010020222120.

It is not an unprimeable number, because it can be changed into a prime (1010020222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2780815 + ... + 3122974.

It is an arithmetic number, because the mean of its divisors is an integer number (22316326200).

Almost surely, 21010020222120 is an apocalyptic number.

1010020222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010020222120 is an abundant number, since it is smaller than the sum of its proper divisors (1846469531480).

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

1010020222120 is a wasteful number, since it uses less digits than its factorization.

1010020222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903867 (or 5903863 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1010020222120 its reverse (212220200101), we get a palindrome (1222240422221).

The spelling of 1010020222120 in words is "one trillion, ten billion, twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 47 52 56 65 70 91 94 104 130 140 182 188 235 260 280 329 364 376 455 470 520 611 658 728 910 940 1222 1316 1645 1820 1880 2444 2632 3055 3290 3640 4277 4888 6110 6580 8554 12220 13160 17108 21385 24440 34216 42770 85540 171080 5903789 11807578 23615156 29518945 41326523 47230312 59037890 76749257 82653046 118075780 153498514 165306092 206632615 236151560 277478083 306997028 330612184 383746285 413265230 537244799 554956166 613994056 767492570 826530460 1074489598 1109912332 1387390415 1534985140 1653060920 1942346581 2148979196 2219824664 2686223995 2774780830 3069970280 3607215079 3884693162 4297958392 5372447990 5549561660 7214430158 7769386324 9711732905 10744895980 11099123320 14428860316 15538772648 18036075395 19423465810 21489791960 25250505553 28857720632 36072150790 38846931620 50501011106 72144301580 77693863240 101002022212 126252527765 144288603160 202004044424 252505055530 505010111060 1010020222120