Search a number
-
+
121000011120100 = 225271923395554139
BaseRepresentation
bin11011100000110010000010…
…101011100011110111100100
3120212102111011211010102100001
4123200302002223203313210
5111324431010321320400
61105202345425431044
734325651034356260
oct3340620253436744
9525374154112301
10121000011120100
11356108a88a4872
12116a2742a9b484
135269337ab9b48
1421c4608b6d0a0
15dec74bd66a6a
hex6e0c82ae3de4

121000011120100 has 144 divisors (see below), whose sum is σ = 329607353779200. Its totient is φ = 37593465275520.

The previous prime is 121000011120089. The next prime is 121000011120101. The reversal of 121000011120100 is 1021110000121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121000011120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197471170 + ... + 198082969.

It is an arithmetic number, because the mean of its divisors is an integer number (2288939956800).

Almost surely, 2121000011120100 is an apocalyptic number.

121000011120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121000011120100 is an abundant number, since it is smaller than the sum of its proper divisors (208607342659100).

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

121000011120100 is a wasteful number, since it uses less digits than its factorization.

121000011120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395554202 (or 395554195 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121000011120100 its reverse (1021110000121), we get a palindrome (122021121120221).

The spelling of 121000011120100 in words is "one hundred twenty-one trillion, eleven million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 23 25 28 35 38 46 50 70 76 92 95 100 115 133 140 161 175 190 230 266 322 350 380 437 460 475 532 575 644 665 700 805 874 950 1150 1330 1610 1748 1900 2185 2300 2660 3059 3220 3325 4025 4370 6118 6650 8050 8740 10925 12236 13300 15295 16100 21850 30590 43700 61180 76475 152950 305900 395554139 791108278 1582216556 1977770695 2768878973 3955541390 5537757946 7515528641 7911082780 9097745197 9888853475 11075515892 13844394865 15031057282 18195490394 19777706950 27688789730 30062114564 36390980788 37577643205 39555413900 45488725985 52608700487 55377579460 63684216379 69221974325 75155286410 90977451970 105217400974 127368432758 138443948650 150310572820 172857158743 181954903940 187888216025 210434801948 227443629925 254736865516 263043502435 276887897300 318421081895 345714317486 375776432050 454887259850 526087004870 636842163790 691428634972 751552864100 864285793715 909774519700 1052174009740 1210000111201 1273684327580 1315217512175 1592105409475 1728571587430 2420000222402 2630435024350 3184210818950 3457143174860 4321428968575 4840000444804 5260870048700 6050000556005 6368421637900 8642857937150 12100001112010 17285715874300 24200002224020 30250002780025 60500005560050 121000011120100