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1002021110048 = 25773157390307
BaseRepresentation
bin11101001010011010001…
…11001100000100100000
310112210101120111110020202
432211031013030010200
5112404114401010143
62044153325524332
7132252005622110
oct16451507140440
93483346443222
101002021110048
11356a55880882
12142246a136a8
137364ac2464a
14366d8a39040
151b0e8de8ab8
hexe94d1cc120

1002021110048 has 96 divisors (see below), whose sum is σ = 2299994492544. Its totient is φ = 420856031232.

The previous prime is 1002021110047. The next prime is 1002021110053. The reversal of 1002021110048 is 8400111202001.

It is a super-2 number, since 2×10020211100482 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002021110047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2372111 + ... + 2762417.

It is an arithmetic number, because the mean of its divisors is an integer number (23958275964).

Almost surely, 21002021110048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002021110048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149997246272).

1002021110048 is an abundant number, since it is smaller than the sum of its proper divisors (1297973382496).

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

1002021110048 is a wasteful number, since it uses less digits than its factorization.

1002021110048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390554 (or 390546 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 1002021110048 its reverse (8400111202001), we get a palindrome (9402132312049).

The spelling of 1002021110048 in words is "one trillion, two billion, twenty-one million, one hundred ten thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 157 224 292 314 511 584 628 1022 1099 1168 1256 2044 2198 2336 2512 4088 4396 5024 8176 8792 11461 16352 17584 22922 35168 45844 80227 91688 160454 183376 320908 366752 390307 641816 780614 1283632 1561228 2567264 2732149 3122456 5464298 6244912 10928596 12489824 21857192 28492411 43714384 56984822 61278199 87428768 113969644 122556398 199446877 227939288 245112796 398893754 428947393 455878576 490225592 797787508 857894786 911757152 980451184 1595575016 1715789572 1960902368 3191150032 3431579144 4473308527 6382300064 6863158288 8946617054 13726316576 17893234108 31313159689 35786468216 62626319378 71572936432 125252638756 143145872864 250505277512 501010555024 1002021110048