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2031011820 = 223453473613
BaseRepresentation
bin111100100001110…
…1100011111101100
312020112201002110000
41321003230133230
513124414334240
6533311344300
7101221213155
oct17103543754
95215632400
102031011820
119524a9272
12488222090
13264a14a56
14153a4c92c
15bd48b430
hex790ec7ec

2031011820 has 120 divisors (see below), whose sum is σ = 6391489104. Its totient is φ = 539892864.

The previous prime is 2031011797. The next prime is 2031011861. The reversal of 2031011820 is 281101302.

It is a super-4 number, since 4×20310118204 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2031011793 and 2031011802.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 560334 + ... + 563946.

Almost surely, 22031011820 is an apocalyptic number.

2031011820 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 2031011820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195744552).

2031011820 is an abundant number, since it is smaller than the sum of its proper divisors (4360477284).

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

2031011820 is a wasteful number, since it uses less digits than its factorization.

2031011820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2031011820 is about 45066.7484959809. The cubic root of 2031011820 is about 1266.3997524697.

The spelling of 2031011820 in words is "two billion, thirty-one million, eleven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 347 405 540 694 810 1041 1388 1620 1735 2082 3123 3470 3613 4164 5205 6246 6940 7226 9369 10410 10839 12492 14452 15615 18065 18738 20820 21678 28107 31230 32517 36130 37476 43356 46845 54195 56214 62460 65034 72260 93690 97551 108390 112428 130068 140535 162585 187380 195102 216780 281070 292653 325170 390204 487755 562140 585306 650340 975510 1170612 1253711 1463265 1951020 2507422 2926530 3761133 5014844 5853060 6268555 7522266 11283399 12537110 15044532 18805665 22566798 25074220 33850197 37611330 45133596 56416995 67700394 75222660 101550591 112833990 135400788 169250985 203101182 225667980 338501970 406202364 507752955 677003940 1015505910 2031011820