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1120011001020 = 22325171272882021
BaseRepresentation
bin10000010011000101110…
…110111001110010111100
310222001221111021221112200
4100103011312321302330
5121322240304013040
62214305334431500
7143626626300252
oct20230566716274
93861844257480
101120011001020
113a1aa301426a
12161095502590
1381802835292
143c2cd0145d2
151e202691630
hex104c5db9cbc

1120011001020 has 144 divisors (see below), whose sum is σ = 3625537563648. Its totient is φ = 278887311360.

The previous prime is 1120011001019. The next prime is 1120011001073. The reversal of 1120011001020 is 201001100211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1120011000993 and 1120011001011.

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, 1052391 + ... + 1829630.

It is an arithmetic number, because the mean of its divisors is an integer number (25177344192).

Almost surely, 21120011001020 is an apocalyptic number.

1120011001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120011001020 is an abundant number, since it is smaller than the sum of its proper divisors (2505526562628).

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

1120011001020 is a wasteful number, since it uses less digits than its factorization.

1120011001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882180 (or 2882175 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120011001020 its reverse (201001100211), we get a palindrome (1321012101231).

The spelling of 1120011001020 in words is "one trillion, one hundred twenty billion, eleven million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 127 153 170 180 204 254 255 306 340 381 508 510 612 635 762 765 1020 1143 1270 1524 1530 1905 2159 2286 2540 3060 3810 4318 4572 5715 6477 7620 8636 10795 11430 12954 19431 21590 22860 25908 32385 38862 43180 64770 77724 97155 129540 194310 388620 2882021 5764042 8646063 11528084 14410105 17292126 25938189 28820210 34584252 43230315 48994357 51876378 57640420 86460630 97988714 103752756 129690945 146983071 172921260 195977428 244971785 259381890 293966142 366016667 440949213 489943570 518763780 587932284 732033334 734915355 881898426 979887140 1098050001 1464066668 1469830710 1763796852 1830083335 2196100002 2204746065 2939661420 3294150003 3660166670 4392200004 4409492130 5490250005 6222283339 6588300006 7320333340 8818984260 10980500010 12444566678 13176600012 16470750015 18666850017 21961000020 24889133356 31111416695 32941500030 37333700034 56000550051 62222833390 65883000060 74667400068 93334250085 112001100102 124445666780 186668500170 224002200204 280002750255 373337000340 560005500510 1120011001020