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1000100001000 = 23353941935393
BaseRepresentation
bin11101000110110101001…
…10101111010011101000
310112121102200121000001210
432203122212233103220
5112341201100013000
62043234541513120
7132153260514102
oct16433246572350
93477380530053
101000100001000
1135615a418151
121419ab5727a0
1373402c0c929
1436595838572
151b03541b350
hexe8da9af4e8

1000100001000 has 128 divisors (see below), whose sum is σ = 3120731452800. Its totient is φ = 266657484800.

The previous prime is 1000100000929. The next prime is 1000100001011. The reversal of 1000100001000 is 1000010001.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 28239304 + ... + 28274696.

It is an arithmetic number, because the mean of its divisors is an integer number (24380714475).

Almost surely, 21000100001000 is an apocalyptic number.

1000100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100001000 is an abundant number, since it is smaller than the sum of its proper divisors (2120631451800).

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

1000100001000 is a wasteful number, since it uses less digits than its factorization.

1000100001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44836 (or 44822 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 1000100001000 its reverse (1000010001), we get a palindrome (1001100011001).

Subtracting from 1000100001000 its reverse (1000010001), we obtain a palindrome (999099990999).

The spelling of 1000100001000 in words is "one trillion, one hundred million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 9419 18838 28257 35393 37676 47095 56514 70786 75352 94190 106179 113028 141285 141572 176965 188380 212358 226056 235475 282570 283144 353930 376760 424716 470950 530895 565140 706425 707860 849432 884825 941900 1061790 1130280 1177375 1412850 1415720 1769650 1883800 2123580 2354750 2654475 2825700 3532125 3539300 4247160 4424125 4709500 5308950 5651400 7064250 7078600 8848250 9419000 10617900 13272375 14128500 17696500 21235800 26544750 28257000 35393000 53089500 106179000 333366667 666733334 1000100001 1333466668 1666833335 2000200002 2666933336 3333666670 4000400004 5000500005 6667333340 8000800008 8334166675 10001000010 13334666680 16668333350 20002000020 25002500025 33336666700 40004000040 41670833375 50005000050 66673333400 83341666750 100010000100 125012500125 166683333500 200020000200 250025000250 333366667000 500050000500 1000100001000