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2032312231032 = 2331789283197767
BaseRepresentation
bin11101100100101111001…
…111111010010001111000
321012021202100000021000120
4131210233033322101320
5231244133412343112
64153344212133240
7266554406636166
oct35445717722170
97167670007016
102032312231032
117139982aa256
12289a61307220
131198529947c5
147051602c236
1537ce9ae1e8c
hex1d92f3fa478

2032312231032 has 128 divisors (see below), whose sum is σ = 5459346086400. Its totient is φ = 628193415168.

The previous prime is 2032312231013. The next prime is 2032312231051. The reversal of 2032312231032 is 2301322132302.

It is an interprime number because it is at equal distance from previous prime (2032312231013) and next prime (2032312231051).

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 = 2032312230993 and 2032312231011.

It is a congruent number.

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, 10177413 + ... + 10375179.

It is an arithmetic number, because the mean of its divisors is an integer number (42651141300).

Almost surely, 22032312231032 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 2032312231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729673043200).

2032312231032 is an abundant number, since it is smaller than the sum of its proper divisors (3427033855368).

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

2032312231032 is a wasteful number, since it uses less digits than its factorization.

2032312231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198165 (or 198161 counting only the distinct ones).

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

Adding to 2032312231032 its reverse (2301322132302), we get a palindrome (4333634363334).

The spelling of 2032312231032 in words is "two trillion, thirty-two billion, three hundred twelve million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 283 356 408 534 566 712 849 1068 1132 1513 1698 2136 2264 3026 3396 4539 4811 6052 6792 9078 9622 12104 14433 18156 19244 25187 28866 36312 38488 50374 57732 75561 100748 115464 151122 197767 201496 302244 395534 428179 593301 604488 791068 856358 1186602 1284537 1582136 1712716 2373204 2569074 3362039 3425432 4746408 5138148 6724078 10086117 10276296 13448156 17601263 20172234 26896312 35202526 40344468 52803789 55968061 70405052 80688936 105607578 111936122 140810104 167904183 211215156 223872244 299221471 335808366 422430312 447744488 598442942 671616732 897664413 951457037 1196885884 1343233464 1795328826 1902914074 2393771768 2854371111 3590657652 3805828148 4981157429 5708742222 7181315304 7611656296 9962314858 11417484444 14943472287 19924629716 22834968888 29886944574 39849259432 59773889148 84679676293 119547778296 169359352586 254039028879 338718705172 508078057758 677437410344 1016156115516 2032312231032