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1123230101100 = 2235237166760703
BaseRepresentation
bin10000010110000101101…
…110110010111001101100
310222101020211121011200120
4100112011232302321230
5121400333401213400
62220001011124540
7144102455220552
oct20260556627154
93871224534616
101123230101100
113a33a5122858
121618335a3750
1381bc6730723
143c516771bd2
151e3400b3ca0
hex10585bb2e6c

1123230101100 has 144 divisors (see below), whose sum is σ = 3339770907648. Its totient is φ = 291253052160.

The previous prime is 1123230101093. The next prime is 1123230101107. The reversal of 1123230101100 is 11010323211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1123230101093) and next prime (1123230101107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1123230101100.

It is not an unprimeable number, because it can be changed into a prime (1123230101107) 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, 18473349 + ... + 18534051.

Almost surely, 21123230101100 is an apocalyptic number.

1123230101100 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 1123230101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669885453824).

1123230101100 is an abundant number, since it is smaller than the sum of its proper divisors (2216540806548).

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

1123230101100 is a wasteful number, since it uses less digits than its factorization.

1123230101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62424 (or 62417 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1123230101100 its reverse (11010323211), we get a palindrome (1134240424311).

The spelling of 1123230101100 in words is "one trillion, one hundred twenty-three billion, two hundred thirty million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1667 1850 2220 2775 3334 3700 5001 5550 6668 8335 10002 11100 16670 20004 25005 33340 41675 50010 60703 61679 83350 100020 121406 123358 125025 166700 182109 185037 242812 246716 250050 303515 308395 364218 370074 500100 607030 616790 728436 740148 910545 925185 1214060 1233580 1517575 1541975 1821090 1850370 2246011 3035150 3083950 3642180 3700740 4492022 4552725 4625925 6070300 6167900 6738033 8984044 9105450 9251850 11230055 13476066 18210900 18503700 22460110 26952132 33690165 44920220 56150275 67380330 101191901 112300550 134760660 168450825 202383802 224601100 303575703 336901650 404767604 505959505 607151406 673803300 1011919010 1214302812 1517878515 2023838020 2529797525 3035757030 3744100337 5059595050 6071514060 7488200674 7589392575 10119190100 11232301011 14976401348 15178785150 18720501685 22464602022 30357570300 37441003370 44929204044 56161505055 74882006740 93602508425 112323010110 187205016850 224646020220 280807525275 374410033700 561615050550 1123230101100