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2231011123032 = 2335922331322573
BaseRepresentation
bin100000011101110010101…
…000000001111101011000
321220021122000000210212210
4200131302220001331120
5243023102321414112
64424525023035120
7320120351436336
oct40356250017530
97807560023783
102231011123032
1179019168678a
1230047513baa0
131324ca57b593
1479da53c0b56
153d078c07b3c
hex20772a01f58

2231011123032 has 128 divisors (see below), whose sum is σ = 5715953510400. Its totient is φ = 725430131712.

The previous prime is 2231011123009. The next prime is 2231011123037. The reversal of 2231011123032 is 2303211101322.

It is a super-3 number, since 3×22310111230323 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231011123037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98824098 + ... + 98846670.

It is an arithmetic number, because the mean of its divisors is an integer number (44655886800).

Almost surely, 22231011123032 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 2231011123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857976755200).

2231011123032 is an abundant number, since it is smaller than the sum of its proper divisors (3484942387368).

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

2231011123032 is a wasteful number, since it uses less digits than its factorization.

2231011123032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23177 (or 23173 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2231011123032 its reverse (2303211101322), we get a palindrome (4534222224354).

The spelling of 2231011123032 in words is "two trillion, two hundred thirty-one billion, eleven million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 223 236 313 354 446 472 626 669 708 892 939 1252 1338 1416 1784 1878 2504 2676 3756 5352 7512 13157 18467 22573 26314 36934 39471 45146 52628 55401 67719 69799 73868 78942 90292 105256 110802 135438 139598 147736 157884 180584 209397 221604 270876 279196 315768 418794 443208 541752 558392 837588 1331807 1675176 2663614 3995421 4118141 5033779 5327228 7065349 7990842 8236282 10067558 10654456 12354423 14130698 15101337 15981684 16472564 20135116 21196047 24708846 28261396 30202674 31963368 32945128 40270232 42392094 49417692 56522792 60405348 84784188 98835384 120810696 169568376 296992961 416855591 593985922 833711182 890978883 1187971844 1250566773 1575572827 1667422364 1781957766 2375943688 2501133546 3151145654 3334844728 3563915532 4726718481 5002267092 6302291308 7127831064 9453436962 10004534184 12604582616 18906873924 37813747848 92958796793 185917593586 278876390379 371835187172 557752780758 743670374344 1115505561516 2231011123032