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10001243041000 = 2353103154362929
BaseRepresentation
bin1001000110001001100010…
…0010011110110011101000
31022102002221211020021111221
42101202120202132303220
52302330021204303000
633134301351431424
72051365061124451
oct221423042366350
938362854207457
1010001243041000
113206559a68132
121156384085574
1357716183c743
142680c4264128
1512524e13161a
hex9189889ece8

10001243041000 has 128 divisors (see below), whose sum is σ = 23645811571200. Its totient is φ = 3959027020800.

The previous prime is 10001243040973. The next prime is 10001243041021. The reversal of 10001243041000 is 14034210001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158897536 + ... + 158960464.

It is an arithmetic number, because the mean of its divisors is an integer number (184732902900).

Almost surely, 210001243041000 is an apocalyptic number.

10001243041000 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 10001243041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822905785600).

10001243041000 is an abundant number, since it is smaller than the sum of its proper divisors (13644568530200).

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

10001243041000 is a wasteful number, since it uses less digits than its factorization.

10001243041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64596 (or 64582 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10001243041000 its reverse (14034210001), we get a palindrome (10015277251001).

The spelling of 10001243041000 in words is "ten trillion, one billion, two hundred forty-three million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1030 1543 2060 2575 3086 4120 5150 6172 7715 10300 12344 12875 15430 20600 25750 30860 38575 51500 61720 62929 77150 103000 125858 154300 158929 192875 251716 308600 314645 317858 385750 503432 629290 635716 771500 794645 1258580 1271432 1543000 1573225 1589290 2517160 3146450 3178580 3973225 6292900 6357160 6481687 7866125 7946450 12585800 12963374 15732250 15892900 19866125 25926748 31464500 31785800 32408435 39732250 51853496 62929000 64816870 79464500 97099447 129633740 158929000 162042175 194198894 259267480 324084350 388397788 485497235 648168700 776795576 810210875 970994470 1296337400 1620421750 1941988940 2427486175 3240843500 3883977880 4854972350 6481687000 9709944700 10001243041 12137430875 19419889400 20002486082 24274861750 40004972164 48549723500 50006215205 80009944328 97099447000 100012430410 200024860820 250031076025 400049721640 500062152050 1000124304100 1250155380125 2000248608200 2500310760250 5000621520500 10001243041000