Search a number
-
+
10121022200100 = 22352731155468851
BaseRepresentation
bin1001001101000111101111…
…1011101101100100100100
31022211120010102212000020210
42103101323323231210210
52311310323140400400
633305311114455420
72063135236152030
oct223217373554444
938746112760223
1010121022200100
1132523351a5209
121175631a34570
13585540053706
1426dc081211c0
1512840ea12950
hex9347beed924

10121022200100 has 144 divisors (see below), whose sum is σ = 34546422665216. Its totient is φ = 2238751440000.

The previous prime is 10121022200053. The next prime is 10121022200111. The reversal of 10121022200100 is 100222012101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77669326 + ... + 77799525.

Almost surely, 210121022200100 is an apocalyptic number.

10121022200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121022200100 is an abundant number, since it is smaller than the sum of its proper divisors (24425400465116).

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

10121022200100 is a wasteful number, since it uses less digits than its factorization.

10121022200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155468906 (or 155468899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10121022200100 its reverse (100222012101), we get a palindrome (10221244212201).

The spelling of 10121022200100 in words is "ten trillion, one hundred twenty-one billion, twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 868 930 1050 1085 1302 1550 1860 2100 2170 2325 2604 3100 3255 4340 4650 5425 6510 9300 10850 13020 16275 21700 32550 65100 155468851 310937702 466406553 621875404 777344255 932813106 1088281957 1554688510 1865626212 2176563914 2332032765 3109377020 3264845871 3886721275 4353127828 4664065530 4819534381 5441409785 6529691742 7773442550 9328131060 9639068762 10882819570 11660163825 13059383484 14458603143 15546885100 16324229355 19278137524 21765639140 23320327650 24097671905 27207048925 28917206286 32648458710 33736740667 46640655300 48195343810 54414097850 57834412572 65296917420 67473481334 72293015715 81621146775 96390687620 101210222001 108828195700 120488359525 134946962668 144586031430 163242293550 168683703335 202420444002 240976719050 289172062860 326484587100 337367406670 361465078575 404840888004 481953438100 506051110005 674734813340 722930157150 843418516675 1012102220010 1445860314300 1686837033350 2024204440020 2530255550025 3373674066700 5060511100050 10121022200100