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801022020102 = 23624114891531
BaseRepresentation
bin10111010100000001010…
…00100000101000000110
32211120120121020202000000
423222000220200220012
5101110443114120402
61411552345502130
7111605033554323
oct13520050405006
92746517222000
10801022020102
11289791058607
1210b2b07a1946
135a6c79265b5
142aaabda5b4a
1515c82dc2c1c
hexba80a20a06

801022020102 has 112 divisors (see below), whose sum is σ = 1811347668240. Its totient is φ = 265547289600.

The previous prime is 801022020067. The next prime is 801022020107. The reversal of 801022020102 is 201020220108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801022020107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 523201077 + ... + 523202607.

Almost surely, 2801022020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801022020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905673834120).

801022020102 is an abundant number, since it is smaller than the sum of its proper divisors (1010325648138).

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

801022020102 is a wasteful number, since it uses less digits than its factorization.

801022020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 801022020102 in words is "eight hundred one billion, twenty-two million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 241 243 482 486 723 729 1446 1458 1489 1531 2169 2978 3062 4338 4467 4593 6507 8934 9186 13014 13401 13779 19521 26802 27558 39042 40203 41337 58563 80406 82674 117126 120609 124011 175689 241218 248022 351378 358849 361827 368971 372033 717698 723654 737942 744066 1076547 1085481 1106913 1116099 2153094 2170962 2213826 2232198 2279659 3229641 3320739 4559318 6459282 6641478 6838977 9688923 9962217 13677954 19377846 19924434 20516931 29066769 29886651 41033862 58133538 59773302 61550793 87200307 89659953 123101586 174400614 179319906 184652379 261600921 268979859 369304758 523201842 537959718 549397819 553957137 1098795638 1107914274 1648193457 1661871411 3296386914 3323742822 4944580371 9889160742 14833741113 29667482226 44501223339 89002446678 133503670017 267007340034 400511010051 801022020102