Search a number
-
+
141001202000100 = 223521337977139307
BaseRepresentation
bin100000000011110101100110…
…100011101110000011100100
3200111020120202012102220020110
4200003311212203232003210
5121440130430203000400
61215515020304333020
741462000141623431
oct4003654643560344
9614216665386213
10141001202000100
1140a223016a9652
1213992b89314170
13608a482a20bb0
1426b66cd224b88
151147b71535e50
hex803d668ee0e4

141001202000100 has 144 divisors (see below), whose sum is σ = 451219481091008. Its totient is φ = 33769934415360.

The previous prime is 141001202000083. The next prime is 141001202000213. The reversal of 141001202000100 is 1000202100141.

It is a happy number.

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, 488425354 + ... + 488713953.

Almost surely, 2141001202000100 is an apocalyptic number.

141001202000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141001202000100 is an abundant number, since it is smaller than the sum of its proper divisors (310218279090908).

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

141001202000100 is a wasteful number, since it uses less digits than its factorization.

141001202000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977139374 (or 977139367 counting only the distinct ones).

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

Adding to 141001202000100 its reverse (1000202100141), we get a palindrome (142001404100241).

The spelling of 141001202000100 in words is "one hundred forty-one trillion, one billion, two hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 24050 28860 36075 48100 72150 144300 977139307 1954278614 2931417921 3908557228 4885696535 5862835842 9771393070 11725671684 12702810991 14657089605 19542786140 24428482675 25405621982 29314179210 36154154359 38108432973 48856965350 50811243964 58628358420 63514054955 72308308718 73285448025 76216865946 97713930700 108462463077 127028109910 144616617436 146570896050 152433731892 180770771795 190542164865 216924926154 254056219820 293141792100 317570274775 361541543590 381084329730 433849852308 470004006667 542312315385 635140549550 723083087180 762168659460 903853858975 940008013334 952710824325 1084624630770 1270281099100 1410012020001 1807707717950 1880016026668 1905421648650 2169249261540 2350020033335 2711561576925 2820024040002 3615415435900 3810843297300 4700040066670 5423123153850 5640048080004 7050060100005 9400080133340 10846246307700 11750100166675 14100120200010 23500200333350 28200240400020 35250300500025 47000400666700 70500601000050 141001202000100