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1123123203020 = 22571344923061
BaseRepresentation
bin10000010101111111010…
…111000000101111001100
310222100222101110012002102
4100111333113000233030
5121400124014444040
62215542232014232
7144100016465420
oct20257727005714
93870871405072
101123123203020
113a334a84a735
12161803831378
1381baa543220
143c5064a6b80
151e3359ea515
hex1057f5c0bcc

1123123203020 has 144 divisors (see below), whose sum is σ = 2910271482048. Its totient is φ = 354542469120.

The previous prime is 1123123203011. The next prime is 1123123203029. The reversal of 1123123203020 is 203023213211.

It is an interprime number because it is at equal distance from previous prime (1123123203011) and next prime (1123123203029).

It is a super-2 number, since 2×11231232030202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1123123202983 and 1123123203001.

It is not an unprimeable number, because it can be changed into a prime (1123123203029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366912290 + ... + 366915350.

Almost surely, 21123123203020 is an apocalyptic number.

1123123203020 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 1123123203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455135741024).

1123123203020 is an abundant number, since it is smaller than the sum of its proper divisors (1787148279028).

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

1123123203020 is a wasteful number, since it uses less digits than its factorization.

1123123203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1123123203020 its reverse (203023213211), we get a palindrome (1326146416231).

The spelling of 1123123203020 in words is "one trillion, one hundred twenty-three billion, one hundred twenty-three million, two hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 449 455 898 910 1796 1820 2245 3061 3143 4490 5837 6122 6286 8980 11674 12244 12572 15305 15715 21427 23348 29185 30610 31430 39793 40859 42854 58370 61220 62860 79586 81718 85708 107135 116740 159172 163436 198965 201601 204295 214270 278551 397930 403202 408590 428540 557102 795860 806404 817180 1008005 1114204 1374389 1392755 1411207 2016010 2620813 2748778 2785510 2822414 4032020 5241626 5497556 5571020 5644828 6871945 7056035 9620723 10483252 13104065 13743890 14112070 17867057 18345691 19241446 26208130 27487780 28224140 35734114 36691382 38482892 48103615 52416260 71468228 73382764 89335285 91728455 96207230 125069399 178670570 183456910 192414460 250138798 357341140 366913820 500277596 617100661 625346995 1234201322 1250693990 2468402644 2501387980 3085503305 4319704627 6171006610 8022308593 8639409254 12342013220 16044617186 17278818508 21598523135 32089234372 40111542965 43197046270 56156160151 80223085930 86394092540 112312320302 160446171860 224624640604 280780800755 561561601510 1123123203020