Search a number
-
+
120102001011020 = 22575946399313373
BaseRepresentation
bin11011010011101101101101…
…000110110110100101001100
3120202020122020221200021021102
4123103231231012312211030
5111220222344224323040
61103234033024322232
734204040355365060
oct3323555506664514
9522218227607242
10120102001011020
11352a4a77577526
12115786a5173378
1352027546789b2
142192d79b6daa0
15dd41de3a2515
hex6d3b6d1b694c

120102001011020 has 96 divisors (see below), whose sum is σ = 293137560576000. Its totient is φ = 40478898011904.

The previous prime is 120102001011017. The next prime is 120102001011043. The reversal of 120102001011020 is 20110100201021.

It is a super-2 number, since 2×1201020010110202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120102001010992 and 120102001011010.

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, 383099054 + ... + 383412426.

It is an arithmetic number, because the mean of its divisors is an integer number (3053516256000).

Almost surely, 2120102001011020 is an apocalyptic number.

120102001011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102001011020 is an abundant number, since it is smaller than the sum of its proper divisors (173035559564980).

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

120102001011020 is a wasteful number, since it uses less digits than its factorization.

120102001011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359847 (or 359845 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120102001011020 its reverse (20110100201021), we get a palindrome (140212101212041).

The spelling of 120102001011020 in words is "one hundred twenty trillion, one hundred two billion, one million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 8260 46399 92798 185596 231995 313373 324793 463990 626746 649586 927980 1253492 1299172 1566865 1623965 2193611 2737541 3133730 3247930 4387222 5475082 6267460 6495860 8774444 10950164 10968055 13687705 18489007 19162787 21936110 27375410 36978014 38325574 43872220 54750820 73956028 76651148 92445035 95813935 129423049 184890070 191627870 258846098 369780140 383255740 517692196 647115245 1294230490 2588460980 14540193827 29080387654 58160775308 72700969135 101781356789 145401938270 203562713578 290803876540 407125427156 508906783945 857871435793 1017813567890 1715742871586 2035627135780 3431485743172 4289357178965 6005100050551 8578714357930 12010200101102 17157428715860 24020400202204 30025500252755 60051000505510 120102001011020