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1020232255120 = 2451319225122937
BaseRepresentation
bin11101101100010101001…
…01001100011010010000
310121112101201222110212021
432312022211030122100
5113203413424130440
62100404353541224
7133465210040401
oct16661245143220
93545351873767
101020232255120
113637505686a1
12145889874814
1375290b12030
14375455099a8
151b812aad84a
hexed8a94c690

1020232255120 has 160 divisors (see below), whose sum is σ = 2690264062080. Its totient is φ = 356700672000.

The previous prime is 1020232255093. The next prime is 1020232255129. The reversal of 1020232255120 is 215522320201.

It is not an unprimeable number, because it can be changed into a prime (1020232255129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44468292 + ... + 44491228.

It is an arithmetic number, because the mean of its divisors is an integer number (16814150388).

Almost surely, 21020232255120 is an apocalyptic number.

1020232255120 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 1020232255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345132031040).

1020232255120 is an abundant number, since it is smaller than the sum of its proper divisors (1670031806960).

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

1020232255120 is a wasteful number, since it uses less digits than its factorization.

1020232255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25233 (or 25227 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 1020232255120 its reverse (215522320201), we get a palindrome (1235754575321).

The spelling of 1020232255120 in words is "one trillion, twenty billion, two hundred thirty-two million, two hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2251 2470 3952 4502 4940 9004 9880 11255 18008 19760 22510 22937 29263 36016 42769 45020 45874 58526 85538 90040 91748 114685 117052 146315 171076 180080 183496 213845 229370 234104 292630 298181 342152 366992 427690 435803 458740 468208 555997 585260 596362 684304 855380 871606 917480 1111994 1170520 1192724 1490905 1710760 1743212 1834960 2179015 2223988 2341040 2385448 2779985 2981810 3421520 3486424 4358030 4447976 4770896 5559970 5665439 5963620 6972848 8716060 8895952 11119940 11330878 11927240 17432120 22239880 22661756 23854480 28327195 34864240 44479760 45323512 51631187 56654390 90647024 103262374 113308780 206524748 226617560 258155935 413049496 453235120 516311870 671205431 826098992 980992553 1032623740 1342410862 1961985106 2065247480 2684821724 3356027155 3923970212 4130494960 4904962765 5369643448 6712054310 7847940424 9809925530 10739286896 12752903189 13424108620 15695880848 19619851060 25505806378 26848217240 39239702120 51011612756 53696434480 63764515945 78479404240 102023225512 127529031890 204046451024 255058063780 510116127560 1020232255120