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2023210113000 = 233534311564741
BaseRepresentation
bin11101011100010000101…
…110000101011111101000
321011102020222202202101220
4131130100232011133220
5231122013242104000
64145241102142040
7266113014132006
oct35342056053750
97142228682356
102023210113000
1171004740025a
12288140b81920
13118a3200b94b
146dcd1233a76
15379659931a0
hex1d710b857e8

2023210113000 has 128 divisors (see below), whose sum is σ = 6327065571840. Its totient is φ = 538270560000.

The previous prime is 2023210112999. The next prime is 2023210113019. The reversal of 2023210113000 is 3110123202.

It is a super-2 number, since 2×20232101130002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510630 + ... + 2075370.

It is an arithmetic number, because the mean of its divisors is an integer number (49430199780).

Almost surely, 22023210113000 is an apocalyptic number.

2023210113000 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 2023210113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163532785920).

2023210113000 is an abundant number, since it is smaller than the sum of its proper divisors (4303855458840).

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

2023210113000 is a wasteful number, since it uses less digits than its factorization.

2023210113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565196 (or 1565182 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2023210113000 its reverse (3110123202), we get a palindrome (2026320236202).

The spelling of 2023210113000 in words is "two trillion, twenty-three billion, two hundred ten million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 431 500 600 750 862 1000 1293 1500 1724 2155 2586 3000 3448 4310 5172 6465 8620 10344 10775 12930 17240 21550 25860 32325 43100 51720 53875 64650 86200 107750 129300 161625 215500 258600 323250 431000 646500 1293000 1564741 3129482 4694223 6258964 7823705 9388446 12517928 15647410 18776892 23471115 31294820 37553784 39118525 46942230 62589640 78237050 93884460 117355575 156474100 187768920 195592625 234711150 312948200 391185250 469422300 586777875 674403371 782370500 938844600 1173555750 1348806742 1564741000 2023210113 2347111500 2697613484 3372016855 4046420226 4694223000 5395226968 6744033710 8092840452 10116050565 13488067420 16185680904 16860084275 20232101130 26976134840 33720168550 40464202260 50580252825 67440337100 80928404520 84300421375 101160505650 134880674200 168600842750 202321011300 252901264125 337201685500 404642022600 505802528250 674403371000 1011605056500 2023210113000