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101101012020 = 223251408339883
BaseRepresentation
bin101111000101000010…
…1110000010000110100
3100122221220101112210200
41132022011300100310
53124023324341040
6114240053320500
710206243265041
oct1361205602064
9318856345720
10101101012020
1139970981798
1217716636130
1396c2955c48
144c713841c8
15296ac20630
hex178a170434

101101012020 has 72 divisors (see below), whose sum is σ = 306702535776. Its totient is φ = 26957679552.

The previous prime is 101101011983. The next prime is 101101012021. The reversal of 101101012020 is 20210101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101101011993 and 101101012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101012021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2514999 + ... + 2554881.

Almost surely, 2101101012020 is an apocalyptic number.

101101012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101012020 is an abundant number, since it is smaller than the sum of its proper divisors (205601523756).

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

101101012020 is a wasteful number, since it uses less digits than its factorization.

101101012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53981 (or 53976 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101101012020 its reverse (20210101101), we get a palindrome (121311113121).

The spelling of 101101012020 in words is "one hundred one billion, one hundred one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14083 28166 39883 42249 56332 70415 79766 84498 119649 126747 140830 159532 168996 199415 211245 239298 253494 281660 358947 398830 422490 478596 506988 598245 633735 717894 797660 844980 1196490 1267470 1435788 1794735 2392980 2534940 3589470 7178940 561672289 1123344578 1685016867 2246689156 2808361445 3370033734 5055050601 5616722890 6740067468 8425084335 10110101202 11233445780 16850168670 20220202404 25275253005 33700337340 50550506010 101101012020