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2231232131000 = 23532986389153
BaseRepresentation
bin100000011101111111110…
…011000110111110111000
321220022012101220011211002
4200131333303012332320
5243024030411143000
64425003000024132
7320126004121415
oct40357763067670
97808171804732
102231232131000
117902954082a4
12300517162048
131325342aca22
1479dc68b110c
153d08d3118d5
hex2077fcc6fb8

2231232131000 has 128 divisors (see below), whose sum is σ = 5407439731200. Its totient is φ = 860709068800.

The previous prime is 2231232130997. The next prime is 2231232131017. The reversal of 2231232131000 is 1312321322.

It is a super-3 number, since 3×22312321310003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 24982424 + ... + 25071576.

It is an arithmetic number, because the mean of its divisors is an integer number (42245622900).

Almost surely, 22231232131000 is an apocalyptic number.

2231232131000 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 2231232131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703719865600).

2231232131000 is an abundant number, since it is smaller than the sum of its proper divisors (3176207600200).

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

2231232131000 is a wasteful number, since it uses less digits than its factorization.

2231232131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90066 (or 90052 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2231232131000 its reverse (1312321322), we get a palindrome (2232544452322).

The spelling of 2231232131000 in words is "two trillion, two hundred thirty-one billion, two hundred thirty-two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 863 1000 1160 1450 1726 2900 3452 3625 4315 5800 6904 7250 8630 14500 17260 21575 25027 29000 34520 43150 50054 86300 89153 100108 107875 125135 172600 178306 200216 215750 250270 356612 431500 445765 500540 625675 713224 863000 891530 1001080 1251350 1783060 2228825 2502700 2585437 3128375 3566120 4457650 5005400 5170874 6256750 8915300 10341748 11144125 12513500 12927185 17830600 20683496 22288250 25027000 25854370 44576500 51708740 64635925 76939039 89153000 103417480 129271850 153878078 258543700 307756156 323179625 384695195 517087400 615512312 646359250 769390390 1292718500 1538780780 1923475975 2231232131 2585437000 3077561560 3846951950 4462464262 7693903900 8924928524 9617379875 11156160655 15387807800 17849857048 19234759750 22312321310 38469519500 44624642620 55780803275 76939039000 89249285240 111561606550 223123213100 278904016375 446246426200 557808032750 1115616065500 2231232131000