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1022310300020 = 2254371131127807
BaseRepresentation
bin11101110000001100111…
…00010011100101110100
310121201202120012002120012
432320012130103211310
5113222142414100040
62101350505355352
7133600542113342
oct16700634234564
93551676162505
101022310300020
11364617570579
12146169798b58
13755324b38b9
14376a14bc992
151b8d523a865
hexee06713974

1022310300020 has 96 divisors (see below), whose sum is σ = 2244742004736. Its totient is φ = 390779625600.

The previous prime is 1022310299993. The next prime is 1022310300043. The reversal of 1022310300020 is 200030132201.

It is a happy number.

1022310300020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1022310299968 and 1022310300004.

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, 7934957 + ... + 8062763.

It is an arithmetic number, because the mean of its divisors is an integer number (23382729216).

Almost surely, 21022310300020 is an apocalyptic number.

1022310300020 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 1022310300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122371002368).

1022310300020 is an abundant number, since it is smaller than the sum of its proper divisors (1222431704716).

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

1022310300020 is a wasteful number, since it uses less digits than its factorization.

1022310300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128061 (or 128059 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1022310300020 its reverse (200030132201), we get a palindrome (1222340432221).

The spelling of 1022310300020 in words is "one trillion, twenty-two billion, three hundred ten million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 43 71 86 131 142 172 215 262 284 355 430 524 655 710 860 1310 1420 2620 3053 5633 6106 9301 11266 12212 15265 18602 22532 28165 30530 37204 46505 56330 61060 93010 112660 127807 186020 255614 399943 511228 639035 799886 1278070 1599772 1999715 2556140 3999430 5495701 7998860 9074297 10991402 16742717 18148594 21982804 27478505 33485434 36297188 45371485 54957010 66970868 83713585 90742970 109914020 167427170 181485940 334854340 390194771 719936831 780389542 1188732907 1439873662 1560779084 1950973855 2377465814 2879747324 3599684155 3901947710 4754931628 5943664535 7199368310 7803895420 11887329070 14398736620 23774658140 51115515001 102231030002 204462060004 255577575005 511155150010 1022310300020