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2131231332020 = 2257215730374561
BaseRepresentation
bin11111000000110111010…
…010010101011010110100
321112202002011202020120112
4133000313102111122310
5234404230210111040
64311024003522152
7306655620264500
oct37006722253264
97482064666515
102131231332020
1175193958698a
122a5069089358
13125c8858071b
147521b6c3300
153a688eba365
hex1f0374956b4

2131231332020 has 144 divisors (see below), whose sum is σ = 5242329125712. Its totient is φ = 725655490560.

The previous prime is 2131231332011. The next prime is 2131231332037. The reversal of 2131231332020 is 202331321312.

It can be written as a sum of positive squares in 8 ways, for example, as 10439117584 + 2120792214436 = 102172^2 + 1456294^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467270540 + ... + 467275100.

It is an arithmetic number, because the mean of its divisors is an integer number (36405063373).

Almost surely, 22131231332020 is an apocalyptic number.

2131231332020 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 2131231332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621164562856).

2131231332020 is an abundant number, since it is smaller than the sum of its proper divisors (3111097793692).

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

2131231332020 is a wasteful number, since it uses less digits than its factorization.

2131231332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2131231332020 its reverse (202331321312), we get a palindrome (2333562653332).

The spelling of 2131231332020 in words is "two trillion, one hundred thirty-one billion, two hundred thirty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 157 196 245 314 490 628 785 980 1099 1570 2198 3037 3140 4396 4561 5495 6074 7693 9122 10990 12148 15185 15386 18244 21259 21980 22805 30370 30772 31927 38465 42518 45610 60740 63854 76930 85036 91220 106295 127708 148813 153860 159635 212590 223489 297626 319270 425180 446978 476809 595252 638540 716077 744065 893956 953618 1117445 1432154 1488130 1907236 2234890 2384045 2864308 2976260 3337663 3580385 4469780 4768090 5012539 6675326 7160770 9536180 10025078 13350652 13851757 14321540 16688315 20050156 23363641 25062695 27703514 33376630 35087773 46727282 50125390 55407028 66753260 69258785 70175546 93454564 96962299 100250780 116818205 138517570 140351092 175438865 193924598 233636410 277035140 350877730 387849196 467272820 484811495 678736093 701755460 969622990 1357472186 1939245980 2174725849 2714944372 3393680465 4349451698 6787360930 8698903396 10873629245 13574721860 15223080943 21747258490 30446161886 43494516980 60892323772 76115404715 106561566601 152230809430 213123133202 304461618860 426246266404 532807833005 1065615666010 2131231332020