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2023213123032 = 2335912371155071
BaseRepresentation
bin11101011100010000111…
…001100100010111011000
321011102021012102200101120
4131130100321210113120
5231122020024414112
64145241250445240
7266113051536423
oct35342071442730
97142235380346
102023213123032
11710049076792
12288141b93820
13118a32823a2a
146dcd17b89ba
1537965d89e8c
hex1d710e645d8

2023213123032 has 64 divisors (see below), whose sum is σ = 5147924889600. Its totient is φ = 662437265280.

The previous prime is 2023213123027. The next prime is 2023213123073. The reversal of 2023213123032 is 2303213123202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2023213122993 and 2023213123011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174057 + ... + 2329127.

It is an arithmetic number, because the mean of its divisors is an integer number (80436326400).

Almost surely, 22023213123032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023213123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573962444800).

2023213123032 is an abundant number, since it is smaller than the sum of its proper divisors (3124711766568).

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

2023213123032 is a wasteful number, since it uses less digits than its factorization.

2023213123032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156376 (or 1156372 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2023213123032 its reverse (2303213123202), we get a palindrome (4326426246234).

The spelling of 2023213123032 in words is "two trillion, twenty-three billion, two hundred thirteen million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1237 1416 2474 3711 4948 7422 9896 14844 29688 72983 145966 218949 291932 437898 583864 875796 1155071 1751592 2310142 3465213 4620284 6930426 9240568 13860852 27721704 68149189 136298378 204447567 272596756 408895134 545193512 817790268 1428822827 1635580536 2857645654 4286468481 5715291308 8572936962 11430582616 17145873924 34291747848 84300546793 168601093586 252901640379 337202187172 505803280758 674404374344 1011606561516 2023213123032