Search a number
-
+
2020111021000 = 235383187912953
BaseRepresentation
bin11101011001010111111…
…111111111001111001000
321011010021000021120101201
4131121113333333033020
5231044141410133000
64144005353553544
7265643143235242
oct35312777771710
97133230246351
102020111021000
117097a70095a6
122876171158b4
13118659c40cb7
146dab97d5092
153783387896a
hex1d657fff3c8

2020111021000 has 128 divisors (see below), whose sum is σ = 4786927891200. Its totient is φ = 797822476800.

The previous prime is 2020111020959. The next prime is 2020111021021. The reversal of 2020111021000 is 1201110202.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 155950524 + ... + 155963476.

It is an arithmetic number, because the mean of its divisors is an integer number (37397874150).

Almost surely, 22020111021000 is an apocalyptic number.

2020111021000 is a gapful number since it is divisible by the number (20) 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 2020111021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393463945600).

2020111021000 is an abundant number, since it is smaller than the sum of its proper divisors (2766816870200).

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

2020111021000 is a wasteful number, since it uses less digits than its factorization.

2020111021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14936 (or 14922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2020111021000 its reverse (1201110202), we get a palindrome (2021312131202).

The spelling of 2020111021000 in words is "two trillion, twenty billion, one hundred eleven million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 1879 2075 3320 3758 4150 7516 8300 9395 10375 12953 15032 16600 18790 20750 25906 37580 41500 46975 51812 64765 75160 83000 93950 103624 129530 155957 187900 234875 259060 311914 323825 375800 469750 518120 623828 647650 779785 939500 1075099 1247656 1295300 1559570 1619125 1879000 2150198 2590600 3119140 3238250 3898925 4300396 5375495 6238280 6476500 7797850 8600792 10750990 12953000 15595700 19494625 21501980 24338687 26877475 31191400 38989250 43003960 48677374 53754950 77978500 97354748 107509900 121693435 134387375 155957000 194709496 215019800 243386870 268774750 486773740 537549500 608467175 973547480 1075099000 1216934350 2020111021 2433868700 3042335875 4040222042 4867737400 6084671750 8080444084 10100555105 12169343500 16160888168 20201110210 24338687000 40402220420 50502775525 80804440840 101005551050 202011102100 252513877625 404022204200 505027755250 1010055510500 2020111021000