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20122001040 = 24351713735999
BaseRepresentation
bin10010101111010111…
…010101111010010000
31220221100002120012210
4102233113111322100
5312202213013130
613124404152120
71311433121031
oct225727257220
956840076183
1020122001040
118596388229
123a96998640
131b88a525bb
14d8c5a2a88
157cb8195b0
hex4af5d5e90

20122001040 has 160 divisors (see below), whose sum is σ = 66531456000. Its totient is φ = 5013225472.

The previous prime is 20122001021. The next prime is 20122001051. The reversal of 20122001040 is 4010022102.

It is a super-2 number, since 2×201220010402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 540961 + ... + 576959.

It is an arithmetic number, because the mean of its divisors is an integer number (415821600).

Almost surely, 220122001040 is an apocalyptic number.

20122001040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33265728000).

20122001040 is an abundant number, since it is smaller than the sum of its proper divisors (46409454960).

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

20122001040 is a wasteful number, since it uses less digits than its factorization.

20122001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36169 (or 36163 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20122001040 its reverse (4010022102), we get a palindrome (24132023142).

The spelling of 20122001040 in words is "twenty billion, one hundred twenty-two million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 137 170 204 240 255 272 274 340 408 411 510 548 680 685 816 822 1020 1096 1360 1370 1644 2040 2055 2192 2329 2740 3288 4080 4110 4658 5480 6576 6987 8220 9316 10960 11645 13974 16440 18632 23290 27948 32880 34935 35999 37264 46580 55896 69870 71998 93160 107997 111792 139740 143996 179995 186320 215994 279480 287992 359990 431988 539985 558960 575984 611983 719980 863976 1079970 1223966 1439960 1727952 1835949 2159940 2447932 2879920 3059915 3671898 4319880 4895864 4931863 6119830 7343796 8639760 9179745 9791728 9863726 12239660 14687592 14795589 18359490 19727452 24479320 24659315 29375184 29591178 36718980 39454904 48958640 49318630 59182356 73437960 73977945 78909808 83841671 98637260 118364712 146875920 147955890 167683342 197274520 236729424 251525013 295911780 335366684 394549040 419208355 503050026 591823560 670733368 838416710 1006100052 1183647120 1257625065 1341466736 1676833420 2012200104 2515250130 3353666840 4024400208 5030500260 6707333680 10061000520 20122001040