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1011023200020 = 2235611731596739
BaseRepresentation
bin11101011011001011010…
…11011011111100010100
310120122121221112000011110
432231211223123330110
5113031033414400040
62052242503535020
7133021045256301
oct16554553337424
93518557460143
101011023200020
1135a85526a259
12143b3975a470
1374453c56cc2
1436d104360a8
151b474389980
hexeb65adbf14

1011023200020 has 96 divisors (see below), whose sum is σ = 2893906028160. Its totient is φ = 263653378560.

The previous prime is 1011023199961. The next prime is 1011023200079. The reversal of 1011023200020 is 200023201101.

It is an interprime number because it is at equal distance from previous prime (1011023199961) and next prime (1011023200079).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1011023199969 and 1011023200005.

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, 165190 + ... + 1431549.

It is an arithmetic number, because the mean of its divisors is an integer number (30144854460).

Almost surely, 21011023200020 is an apocalyptic number.

1011023200020 is a gapful number since it is divisible by the number (10) 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 1011023200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446953014080).

1011023200020 is an abundant number, since it is smaller than the sum of its proper divisors (1882882828140).

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

1011023200020 is a wasteful number, since it uses less digits than its factorization.

1011023200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596985 (or 1596983 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1011023200020 its reverse (200023201101), we get a palindrome (1211046401121).

The spelling of 1011023200020 in words is "one trillion, eleven billion, twenty-three million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 173 183 244 305 346 366 519 610 692 732 865 915 1038 1220 1730 1830 2076 2595 3460 3660 5190 10380 10553 21106 31659 42212 52765 63318 105530 126636 158295 211060 316590 633180 1596739 3193478 4790217 6386956 7983695 9580434 15967390 19160868 23951085 31934780 47902170 95804340 97401079 194802158 276235847 292203237 389604316 487005395 552471694 584406474 828707541 974010790 1104943388 1168812948 1381179235 1461016185 1657415082 1948021580 2762358470 2922032370 3314830164 4143537705 5524716940 5844064740 8287075410 16574150820 16850386667 33700773334 50551160001 67401546668 84251933335 101102320002 168503866670 202204640004 252755800005 337007733340 505511600010 1011023200020