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2131300002040 = 2351123428949103
BaseRepresentation
bin11111000000111011011…
…000010010100011111000
321112202020221222001010121
4133000323120102203320
5234404400300031130
64311034455423024
7306660413051566
oct37007330224370
97482227861117
102131300002040
11751974319770
122a5088084a74
13125c99874a81
147522687aa36
153a690031d7a
hex1f03b6128f8

2131300002040 has 128 divisors (see below), whose sum is σ = 5460207667200. Its totient is φ = 741133803520.

The previous prime is 2131300002031. The next prime is 2131300002067. The reversal of 2131300002040 is 402000031312.

It is a happy number.

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, 43380129 + ... + 43429231.

It is an arithmetic number, because the mean of its divisors is an integer number (42657872400).

Almost surely, 22131300002040 is an apocalyptic number.

2131300002040 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 2131300002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730103833600).

2131300002040 is an abundant number, since it is smaller than the sum of its proper divisors (3328907665160).

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

2131300002040 is a wasteful number, since it uses less digits than its factorization.

2131300002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53437 (or 53433 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2131300002040 its reverse (402000031312), we get a palindrome (2533300033352).

The spelling of 2131300002040 in words is "two trillion, one hundred thirty-one billion, three hundred million, two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 4289 5060 8578 10120 17156 21445 34312 42890 47179 49103 85780 94358 98206 98647 171560 188716 196412 197294 235895 245515 377432 392824 394588 471790 491030 493235 540133 789176 943580 982060 986470 1080266 1085117 1129369 1887160 1964120 1972940 2160532 2170234 2258738 2700665 3945880 4321064 4340468 4517476 5401330 5425585 5646845 8680936 9034952 10802660 10851170 11293690 12423059 21605320 21702340 22587380 24846118 43404680 45174760 49692236 62115295 99384472 124230590 210602767 248461180 421205534 496922360 842411068 1053013835 1684822136 2106027670 2316630437 4212055340 4633260874 4843863641 8424110680 9266521748 9687727282 11583152185 18533043496 19375454564 23166304370 24219318205 38750909128 46332608740 48438636410 53282500051 92665217480 96877272820 106565000102 193754545640 213130000204 266412500255 426260000408 532825000510 1065650001020 2131300002040