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10151343543420 = 223251932819103657
BaseRepresentation
bin1001001110111000101100…
…1110011101010001111100
31022221110101120210211210100
42103232023032131101330
52312304422421342140
633331243550241100
72065260520262622
oct223561316352174
938843346724710
1010151343543420
113264184870232
12117b4944b6190
13588362b7a291
142714830d7512
151290d6964530
hex93b8b39d47c

10151343543420 has 144 divisors (see below), whose sum is σ = 30963233377440. Its totient is φ = 2692017635328.

The previous prime is 10151343543403. The next prime is 10151343543443. The reversal of 10151343543420 is 2434534315101.

10151343543420 is a `hidden beast` number, since 1 + 0 + 1 + 51 + 3 + 43 + 543 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 97880232 + ... + 97983888.

It is an arithmetic number, because the mean of its divisors is an integer number (215022454010).

Almost surely, 210151343543420 is an apocalyptic number.

10151343543420 is a gapful number since it is divisible by the number (10) 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 10151343543420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15481616688720).

10151343543420 is an abundant number, since it is smaller than the sum of its proper divisors (20811889834020).

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

10151343543420 is a wasteful number, since it uses less digits than its factorization.

10151343543420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106684 (or 106679 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10151343543420 its reverse (2434534315101), we get a palindrome (12585877858521).

It can be divided in two parts, 1015134 and 3543420, that added together give a palindrome (4558554).

The spelling of 10151343543420 in words is "ten trillion, one hundred fifty-one billion, three hundred forty-three million, five hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 965 1158 1737 1930 2316 2819 2895 3474 3860 5638 5790 6948 8457 8685 11276 11580 14095 16914 17370 25371 28190 33828 34740 42285 50742 56380 84570 101484 103657 126855 169140 207314 253710 310971 414628 507420 518285 544067 621942 932913 1036570 1088134 1243884 1554855 1632201 1865826 2073140 2176268 2720335 3109710 3264402 3731652 4664565 4896603 5440670 6219420 6528804 8161005 9329130 9793206 10881340 16322010 18658260 19586412 20005801 24483015 32644020 40011602 48966030 60017403 80023204 97932060 100029005 120034806 180052209 200058010 240069612 292209083 300087015 360104418 400116020 584418166 600174030 720208836 876627249 900261045 1168836332 1200348060 1461045415 1753254498 1800522090 2629881747 2922090830 3506508996 3601044180 4383136245 5259763494 5844181660 8766272490 10519526988 13149408735 17532544980 26298817470 52597634940 56396353019 112792706038 169189059057 225585412076 281981765095 338378118114 507567177171 563963530190 676756236228 845945295285 1015134354342 1127927060380 1691890590570 2030268708684 2537835885855 3383781181140 5075671771710 10151343543420