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20031210120 = 2335477150023
BaseRepresentation
bin10010101001111101…
…000000001010001000
31220201000020220111010
4102221331000022020
5312010442210440
613111402203520
71306251322335
oct225175001210
956630226433
1020031210120
11854a106709
123a704b35a0
131b72cb466c
14d804cb98c
157c3883580
hex4a9f40288

20031210120 has 128 divisors (see below), whose sum is σ = 62237859840. Its totient is φ = 5154266880.

The previous prime is 20031210119. The next prime is 20031210179. The reversal of 20031210120 is 2101213002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20031210096 and 20031210105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375429 + ... + 425451.

It is an arithmetic number, because the mean of its divisors is an integer number (486233280).

Almost surely, 220031210120 is an apocalyptic number.

20031210120 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 20031210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31118929920).

20031210120 is an abundant number, since it is smaller than the sum of its proper divisors (42206649720).

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

20031210120 is a wasteful number, since it uses less digits than its factorization.

20031210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50155 (or 50151 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20031210120 its reverse (2101213002), we get a palindrome (22132423122).

The spelling of 20031210120 in words is "twenty billion, thirty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 71 94 120 141 142 188 213 235 282 284 355 376 426 470 564 568 705 710 852 940 1065 1128 1410 1420 1704 1880 2130 2820 2840 3337 4260 5640 6674 8520 10011 13348 16685 20022 26696 33370 40044 50023 50055 66740 80088 100046 100110 133480 150069 200092 200220 250115 300138 400184 400440 500230 600276 750345 1000460 1200552 1500690 2000920 2351081 3001380 3551633 4702162 6002760 7053243 7103266 9404324 10654899 11755405 14106486 14206532 17758165 18808648 21309798 23510810 28212972 28413064 35266215 35516330 42619596 47021620 53274495 56425944 70532430 71032660 85239192 94043240 106548990 141064860 142065320 166926751 213097980 282129720 333853502 426195960 500780253 667707004 834633755 1001560506 1335414008 1669267510 2003121012 2503901265 3338535020 4006242024 5007802530 6677070040 10015605060 20031210120