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1022033023131 = 323292777612423
BaseRepresentation
bin11101101111101011110…
…10100101000010011011
310121201001020102222011210
432313311322211002123
5113221110423220011
62101303202354203
7133560634234041
oct16676572450233
93551036388153
101022033023131
11364494aa731a
121460b095b963
13754b9c10833
1437676742391
151b8bac196a6
hexedf5ea509b

1022033023131 has 64 divisors (see below), whose sum is σ = 1478852536320. Its totient is φ = 625903703040.

The previous prime is 1022033023127. The next prime is 1022033023243. The reversal of 1022033023131 is 1313203302201.

It is not a de Polignac number, because 1022033023131 - 22 = 1022033023127 is a prime.

It is a super-2 number, since 2×10220330231312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022033023098 and 1022033023107.

It is not an unprimeable number, because it can be changed into a prime (1022033023111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421803586 + ... + 421806008.

It is an arithmetic number, because the mean of its divisors is an integer number (23107070880).

Almost surely, 21022033023131 is an apocalyptic number.

1022033023131 is a deficient number, since it is larger than the sum of its proper divisors (456819513189).

1022033023131 is a wasteful number, since it uses less digits than its factorization.

1022033023131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1022033023131 its reverse (1313203302201), we get a palindrome (2335236325332).

The spelling of 1022033023131 in words is "one trillion, twenty-two billion, thirty-three million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 23 29 69 87 277 667 761 831 2001 2283 2423 6371 7269 8033 17503 19113 22069 24099 52509 55729 66207 70267 167187 184759 210797 210801 507587 554277 632391 671171 1522761 1616141 1843903 2013513 4848331 4848423 5531709 6113113 14544993 15436933 18339339 19463959 42409769 46310799 53473187 58391877 127229307 140601599 160419561 421804797 447671057 510761131 1229883301 1343013171 1532283393 3689649903 11747506013 14812072799 35242518039 44436218397 340677674377 1022033023131