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1010004444020 = 2251113794470233
BaseRepresentation
bin11101011001010001111…
…01001100001101110100
310120112222221112211122202
432230220331030031310
5113021442114202040
62051553432244032
7132653565060215
oct16545075141564
93515887484582
101010004444020
1135a3821a5850
121438b4540618
1374320b809c0
1436c5500540c
151b414c01015
hexeb28f4c374

1010004444020 has 96 divisors (see below), whose sum is σ = 2523357688320. Its totient is φ = 334730972160.

The previous prime is 1010004443953. The next prime is 1010004444041. The reversal of 1010004444020 is 204444000101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1010004443983 and 1010004444001.

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, 2009177 + ... + 2461056.

It is an arithmetic number, because the mean of its divisors is an integer number (26284975920).

Almost surely, 21010004444020 is an apocalyptic number.

1010004444020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010004444020 is an abundant number, since it is smaller than the sum of its proper divisors (1513353244300).

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

1010004444020 is a wasteful number, since it uses less digits than its factorization.

1010004444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470345 (or 4470343 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1010004444020 its reverse (204444000101), we get a palindrome (1214448444121).

The spelling of 1010004444020 in words is "one trillion, ten billion, four million, four hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 79 110 130 143 158 220 260 286 316 395 572 715 790 869 1027 1430 1580 1738 2054 2860 3476 4108 4345 5135 8690 10270 11297 17380 20540 22594 45188 56485 112970 225940 4470233 8940466 17880932 22351165 44702330 49172563 58113029 89404660 98345126 116226058 196690252 232452116 245862815 290565145 353148407 491725630 581130290 639243319 706296814 983451260 1162260580 1278486638 1412593628 1765742035 2556973276 3196216595 3531484070 3884632477 4590929291 6392433190 7062968140 7769264954 9181858582 12784866380 15538529908 18363717164 19423162385 22954646455 38846324770 45909292910 50500222201 77692649540 91818585820 101000444402 202000888804 252501111005 505002222010 1010004444020