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1002000011010 = 235238921417621
BaseRepresentation
bin11101001010010111101…
…10101100111100000010
310112210100002210111210220
432211023312230330002
5112404044000323020
62044151253403510
7132251331364635
oct16451366547402
93483302714726
101002000011010
11356a4497a859
1214223b939596
1373646747bcb
14366d5d05c1c
151b0e712c240
hexe94bdacf02

1002000011010 has 128 divisors (see below), whose sum is σ = 2539069908480. Its totient is φ = 252559718400.

The previous prime is 1002000010919. The next prime is 1002000011017. The reversal of 1002000011010 is 101100002001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 1002000011010.

It is not an unprimeable number, because it can be changed into a prime (1002000011017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131475000 + ... + 131482620.

It is an arithmetic number, because the mean of its divisors is an integer number (19836483660).

Almost surely, 21002000011010 is an apocalyptic number.

1002000011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002000011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269534954240).

1002000011010 is an abundant number, since it is smaller than the sum of its proper divisors (1537069897470).

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

1002000011010 is a wasteful number, since it uses less digits than its factorization.

1002000011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1002000011010 its reverse (101100002001), we get a palindrome (1103100013011).

Subtracting from 1002000011010 its reverse (101100002001), we obtain a palindrome (900900009009).

The spelling of 1002000011010 in words is "one trillion, two billion, eleven thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 89 115 138 178 230 267 345 445 534 690 890 1335 2047 2141 2670 4094 4282 6141 6423 7621 10235 10705 12282 12846 15242 20470 21410 22863 30705 32115 38105 45726 49243 61410 64230 76210 98486 114315 147729 175283 190549 228630 246215 295458 350566 381098 492430 525849 571647 678269 738645 876415 952745 1051698 1143294 1356538 1477290 1752830 1905490 2034807 2629245 2858235 3391345 4069614 4382627 5258490 5716470 6782690 8765254 10174035 13147881 15600187 16316561 20348070 21913135 26295762 31200374 32633122 43826270 46800561 48949683 65739405 78000935 81582805 93601122 97899366 131478810 156001870 163165610 234002805 244748415 375280903 468005610 489496830 750561806 1125842709 1452173929 1876404515 2251685418 2904347858 3752809030 4356521787 5629213545 7260869645 8713043574 11258427090 14521739290 21782608935 33400000367 43565217870 66800000734 100200001101 167000001835 200400002202 334000003670 501000005505 1002000011010