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1003012021130 = 257232129120981
BaseRepresentation
bin11101001100010000010…
…11001101101110001010
310112212221122001221201012
432212020023031232022
5112413132034134010
62044435524323522
7132315400336520
oct16461013155612
93485848057635
101003012021130
11357414156a59
121424828435a2
13737782cb872
143679049c310
151b155dd2005
hexe9882cdb8a

1003012021130 has 96 divisors (see below), whose sum is σ = 2158723502208. Its totient is φ = 328667644800.

The previous prime is 1003012021127. The next prime is 1003012021133. The reversal of 1003012021130 is 311202103001.

It is an interprime number because it is at equal distance from previous prime (1003012021127) and next prime (1003012021133).

It is a super-2 number, since 2×10030120211302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1003012021133) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 47795240 + ... + 47816220.

It is an arithmetic number, because the mean of its divisors is an integer number (22486703148).

Almost surely, 21003012021130 is an apocalyptic number.

1003012021130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1003012021130 is an abundant number, since it is smaller than the sum of its proper divisors (1155711481078).

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

1003012021130 is a wasteful number, since it uses less digits than its factorization.

1003012021130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22332 (or 22309 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1003012021130 its reverse (311202103001), we get a palindrome (1314214124131).

The spelling of 1003012021130 in words is "one trillion, three billion, twelve million, twenty-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 529 805 1058 1291 1610 2582 2645 3703 5290 6455 7406 9037 12910 18074 18515 20981 29693 37030 41962 45185 59386 90370 104905 146867 148465 207851 209810 293734 296930 415702 482563 682939 734335 965126 1039255 1365878 1468670 2078510 2412815 3377941 3414695 4780573 4825630 6755882 6829390 9561146 11098949 16889705 22197898 23902865 27086471 33779410 47805730 54172942 55494745 77692643 110989490 135432355 155385286 189605297 270864710 379210594 388463215 622988833 776926430 948026485 1245977666 1896052970 3114944165 4360921831 6229888330 8721843662 14328743159 21804609155 28657486318 43609218310 71643715795 100301202113 143287431590 200602404226 501506010565 1003012021130