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2211020230032 = 2432167165755487
BaseRepresentation
bin100000001011001011000…
…100110100110110010000
321211101000210122020002100
4200023023010310312100
5242211132134330112
64411421220520400
7315512066602425
oct40131304646620
97741023566070
102211020230032
11782763307a09
122b8616250100
13130662a41c03
147902a3c9d4c
153c7a8b8a2dc
hex202cb134d90

2211020230032 has 120 divisors (see below), whose sum is σ = 6228707337216. Its totient is φ = 732138213888.

The previous prime is 2211020229941. The next prime is 2211020230051. The reversal of 2211020230032 is 2300320201122.

2211020230032 is a `hidden beast` number, since 22 + 110 + 202 + 300 + 32 = 666.

It is a super-2 number, since 2×22110202300322 (a number of 25 digits) contains 22 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 = 2211020229987 and 2211020230014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39819793 + ... + 39875279.

Almost surely, 22211020230032 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 2211020230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114353668608).

2211020230032 is an abundant number, since it is smaller than the sum of its proper divisors (4017687107184).

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

2211020230032 is a wasteful number, since it uses less digits than its factorization.

2211020230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57325 (or 57316 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2211020230032 its reverse (2300320201122), we get a palindrome (4511340431154).

The spelling of 2211020230032 in words is "two trillion, two hundred eleven billion, twenty million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 501 668 1002 1336 1503 1657 2004 2672 3006 3314 4008 4971 6012 6628 8016 9942 12024 13256 14913 19884 24048 26512 29826 39768 55487 59652 79536 110974 119304 166461 221948 238608 276719 332922 443896 499383 553438 665844 830157 887792 998766 1106876 1331688 1660314 1997532 2213752 2490471 2663376 3320628 3995064 4427504 4980942 6641256 7990128 9266329 9961884 13282512 18532658 19923768 27798987 37065316 39847536 55597974 74130632 83396961 91941959 111195948 148261264 166793922 183883918 222391896 275825877 333587844 367767836 444783792 551651754 667175688 735535672 827477631 1103303508 1334351376 1471071344 1654955262 2206607016 3309910524 4413214032 6619821048 13239642096 15354307153 30708614306 46062921459 61417228612 92125842918 122834457224 138188764377 184251685836 245668914448 276377528754 368503371672 552755057508 737006743344 1105510115016 2211020230032