Search a number
-
+
121032020103000 = 23353311301419571
BaseRepresentation
bin11011100001001111110110…
…100100001000111101011000
3120212112112210120200020011020
4123201033312210020331120
5111330442034121244000
61105225201545202440
734331163200262156
oct3341176644107530
9525475716606136
10121032020103000
1135623434060446
12116a8996790420
13526c369452c06
1421c5da3d303d6
15ded4c2029ba0
hex6e13f6908f58

121032020103000 has 128 divisors (see below), whose sum is σ = 389801190205440. Its totient is φ = 31234069680000.

The previous prime is 121032020102993. The next prime is 121032020103011. The reversal of 121032020103000 is 301020230121.

121032020103000 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1210320201030002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650616786 + ... + 650802785.

It is an arithmetic number, because the mean of its divisors is an integer number (3045321798480).

Almost surely, 2121032020103000 is an apocalyptic number.

121032020103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121032020103000 is an abundant number, since it is smaller than the sum of its proper divisors (268769170102440).

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

121032020103000 is a wasteful number, since it uses less digits than its factorization.

121032020103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301419626 (or 1301419612 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 121032020103000 its reverse (301020230121), we get a palindrome (121333040333121).

The spelling of 121032020103000 in words is "one hundred twenty-one trillion, thirty-two billion, twenty million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 46500 93000 1301419571 2602839142 3904258713 5205678284 6507097855 7808517426 10411356568 13014195710 15617034852 19521293565 26028391420 31234069704 32535489275 39042587130 40344006701 52056782840 65070978550 78085174260 80688013402 97606467825 121032020103 130141957100 156170348520 161376026804 162677446375 195212935650 201720033505 242064040206 260283914200 322752053608 325354892750 390425871300 403440067010 484128080412 488032339125 605160100515 650709785500 780851742600 806880134020 968256160824 976064678250 1008600167525 1210320201030 1301419571000 1613760268040 1952129356500 2017200335050 2420640402060 3025800502575 3904258713000 4034400670100 4841280804120 5043000837625 6051601005150 8068801340200 10086001675250 12103202010300 15129002512875 20172003350500 24206404020600 30258005025750 40344006701000 60516010051500 121032020103000