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2023313100 = 2235241271607
BaseRepresentation
bin111100010011001…
…0100111011001100
312020000012221210020
41320212110323030
513120432004400
6532434342140
7101065610004
oct17046247314
95200187706
102023313100
11949120096
1248572a950
1326324a7b3
14152a07004
15bc96a2a0
hex78994ecc

2023313100 has 144 divisors (see below), whose sum is σ = 6028947456. Its totient is φ = 523584000.

The previous prime is 2023313029. The next prime is 2023313111. The reversal of 2023313100 is 13133202.

2023313100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20233131002 = 8187591801263220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2023313100.

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, 3332997 + ... + 3333603.

Almost surely, 22023313100 is an apocalyptic number.

2023313100 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 2023313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014473728).

2023313100 is an abundant number, since it is smaller than the sum of its proper divisors (4005634356).

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

2023313100 is a wasteful number, since it uses less digits than its factorization.

2023313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2023313100 is about 44981.2527615672. The cubic root of 2023313100 is about 1264.7975950331.

Adding to 2023313100 its reverse (13133202), we get a palindrome (2036446302).

It can be divided in two parts, 20233 and 13100, that added together give a palindrome (33333).

The spelling of 2023313100 in words is "two billion, twenty-three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 607 615 813 820 1025 1084 1214 1230 1355 1626 1821 2050 2428 2460 2710 3035 3075 3252 3642 4065 4100 5420 6070 6150 6775 7284 8130 9105 11111 12140 12300 13550 15175 16260 18210 20325 22222 24887 27100 30350 33333 36420 40650 44444 45525 49774 55555 60700 66666 74661 81300 91050 99548 111110 124435 133332 149322 164497 166665 182100 222220 248870 277775 298644 328994 333330 373305 493491 497740 555550 622175 657988 666660 746610 822485 833325 986982 1111100 1244350 1493220 1644970 1666650 1866525 1973964 2467455 2488700 3289940 3333300 3733050 4112425 4934910 6744377 7466100 8224850 9869820 12337275 13488754 16449700 20233131 24674550 26977508 33721885 40466262 49349100 67443770 80932524 101165655 134887540 168609425 202331310 337218850 404662620 505828275 674437700 1011656550 2023313100