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101436353040 = 243511181212281
BaseRepresentation
bin101111001111000010…
…0111110101000010000
3100200211021101122012110
41132132010332220100
53130220201244130
6114333233025320
710220454526461
oct1363604765020
9320737348173
10101436353040
113a0231a4430
12177aa9b5240
139747278a99
144ca3b16d68
15298a3b0ab0
hex179e13ea10

101436353040 has 160 divisors (see below), whose sum is σ = 344936172672. Its totient is φ = 24454656000.

The previous prime is 101436353023. The next prime is 101436353041. The reversal of 101436353040 is 40353634101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101436352989 and 101436353007.

It is not an unprimeable number, because it can be changed into a prime (101436353041) 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, 371700 + ... + 583980.

Almost surely, 2101436353040 is an apocalyptic number.

101436353040 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 101436353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172468086336).

101436353040 is an abundant number, since it is smaller than the sum of its proper divisors (243499819632).

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

101436353040 is a wasteful number, since it uses less digits than its factorization.

101436353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212489 (or 212483 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 101436353040 its reverse (40353634101), we get a palindrome (141789987141).

The spelling of 101436353040 in words is "one hundred one billion, four hundred thirty-six million, three hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 181 220 240 264 330 362 440 528 543 660 724 880 905 1086 1320 1448 1810 1991 2172 2640 2715 2896 3620 3982 4344 5430 5973 7240 7964 8688 9955 10860 11946 14480 15928 19910 21720 23892 29865 31856 39820 43440 47784 59730 79640 95568 119460 159280 212281 238920 424562 477840 636843 849124 1061405 1273686 1698248 2122810 2335091 2547372 3184215 3396496 4245620 4670182 5094744 6368430 7005273 8491240 9340364 10189488 11675455 12736860 14010546 16982480 18680728 23350910 25473720 28021092 35026365 37361456 38422861 46701820 50947440 56042184 70052730 76845722 93403640 112084368 115268583 140105460 153691444 186807280 192114305 230537166 280210920 307382888 384228610 422651471 461074332 560421840 576342915 614765776 768457220 845302942 922148664 1152685830 1267954413 1536914440 1690605884 1844297328 2113257355 2305371660 2535908826 3073828880 3381211768 4226514710 4610743320 5071817652 6339772065 6762423536 8453029420 9221486640 10143635304 12679544130 16906058840 20287270608 25359088260 33812117680 50718176520 101436353040