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1031012013020 = 2251129839192611
BaseRepresentation
bin11110000000011010001…
…10101101001111011100
310122120012222222220201212
433000031012231033130
5113343003033404040
62105350153323552
7134326303341113
oct17001506551734
93576188886655
101031012013020
11368282448320
12147997a065b8
13762bb2159c2
1437c89048c7a
151bc44145d65
hexf00d1ad3dc

1031012013020 has 96 divisors (see below), whose sum is σ = 2446326489600. Its totient is φ = 361552083200.

The previous prime is 1031012012981. The next prime is 1031012013047. The reversal of 1031012013020 is 203102101301.

1031012013020 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 = 1031012012986 and 1031012013004.

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, 5256515 + ... + 5449125.

It is an arithmetic number, because the mean of its divisors is an integer number (25482567600).

Almost surely, 21031012013020 is an apocalyptic number.

1031012013020 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 1031012013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223163244800).

1031012013020 is an abundant number, since it is smaller than the sum of its proper divisors (1415314476580).

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

1031012013020 is a wasteful number, since it uses less digits than its factorization.

1031012013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193499 (or 193497 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1031012013020 its reverse (203102101301), we get a palindrome (1234114114321).

The spelling of 1031012013020 in words is "one trillion, thirty-one billion, twelve million, thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 839 1276 1595 1678 3190 3356 4195 6380 8390 9229 16780 18458 24331 36916 46145 48662 92290 97324 121655 184580 192611 243310 267641 385222 486620 535282 770444 963055 1070564 1338205 1926110 2118721 2676410 3852220 4237442 5352820 5585719 8474884 10593605 11171438 21187210 22342876 27928595 42374420 55857190 61442909 111714380 122885818 161600629 245771636 307214545 323201258 614429090 646402516 808003145 1228858180 1616006290 1777606919 3232012580 3555213838 4686418241 7110427676 8888034595 9372836482 17776069190 18745672964 23432091205 35552138380 46864182410 51550600651 93728364820 103101201302 206202402604 257753003255 515506006510 1031012013020