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1021044001340 = 2251137307940739
BaseRepresentation
bin11101101101110101111…
…01110000101000111100
310121121111022102110100002
432312322331300220330
5113212044231020330
62101021112253432
7133524264545426
oct16667275605074
93547438373302
101021044001340
113640277a1640
12145a756a1278
137539004853c
14375c1251816
151b85dea5e45
hexedbaf70a3c

1021044001340 has 96 divisors (see below), whose sum is σ = 2403177638400. Its totient is φ = 361127704320.

The previous prime is 1021044001337. The next prime is 1021044001361. The reversal of 1021044001340 is 431004401201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 25042691 + ... + 25083429.

It is an arithmetic number, because the mean of its divisors is an integer number (25033100400).

Almost surely, 21021044001340 is an apocalyptic number.

1021044001340 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 1021044001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201588819200).

1021044001340 is an abundant number, since it is smaller than the sum of its proper divisors (1382133637060).

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

1021044001340 is a wasteful number, since it uses less digits than its factorization.

1021044001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43875 (or 43873 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1021044001340 its reverse (431004401201), we get a palindrome (1452048402541).

The spelling of 1021044001340 in words is "one trillion, twenty-one billion, forty-four million, one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 3079 4070 6158 8140 12316 15395 30790 33869 40739 61580 67738 81478 113923 135476 162956 169345 203695 227846 338690 407390 448129 455692 569615 677380 814780 896258 1139230 1253153 1507343 1792516 2240645 2278460 2506306 3014686 4481290 5012612 6029372 6265765 7536715 8962580 12531530 15073430 16580773 25063060 30146860 33161546 66323092 82903865 125435381 165807730 250870762 331615460 501741524 627176905 1254353810 1379789191 2508707620 2759578382 4641109097 5519156764 6898945955 9282218194 13797891910 18564436388 23205545485 27595783820 46411090970 51052200067 92822181940 102104400134 204208800268 255261000335 510522000670 1021044001340