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100023111300 = 223527199239347
BaseRepresentation
bin101110100100111010…
…1111000111010000100
3100120011210010111222210
41131021311320322010
53114321404030200
6113541110223420
710140444263250
oct1351165707204
9316153114883
10100023111300
1139468490a52
1217475654b70
139580542078
144bac159260
1529062a2650
hex1749d78e84

100023111300 has 144 divisors (see below), whose sum is σ = 332406502400. Its totient is φ = 22747443840.

The previous prime is 100023111283. The next prime is 100023111313. The reversal of 100023111300 is 3111320001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298227 + ... + 537573.

Almost surely, 2100023111300 is an apocalyptic number.

100023111300 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 100023111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166203251200).

100023111300 is an abundant number, since it is smaller than the sum of its proper divisors (232383391100).

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

100023111300 is a wasteful number, since it uses less digits than its factorization.

100023111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239570 (or 239563 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100023111300 its reverse (3111320001), we get a palindrome (103134431301).

The spelling of 100023111300 in words is "one hundred billion, twenty-three million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 199 210 300 350 398 420 525 597 700 796 995 1050 1194 1393 1990 2100 2388 2786 2985 3980 4179 4975 5572 5970 6965 8358 9950 11940 13930 14925 16716 19900 20895 27860 29850 34825 41790 59700 69650 83580 104475 139300 208950 239347 417900 478694 718041 957388 1196735 1436082 1675429 2393470 2872164 3350858 3590205 4786940 5026287 5983675 6701716 7180410 8377145 10052574 11967350 14360820 16754290 17951025 20105148 23934700 25131435 33508580 35902050 41885725 47630053 50262870 71804100 83771450 95260106 100525740 125657175 142890159 167542900 190520212 238150265 251314350 285780318 333410371 476300530 502628700 571560636 666820742 714450795 952601060 1000231113 1190751325 1333641484 1428901590 1667051855 2000462226 2381502650 2857803180 3334103710 3572253975 4000924452 4763005300 5001155565 6668207420 7144507950 8335259275 10002311130 14289015900 16670518550 20004622260 25005777825 33341037100 50011555650 100023111300