Search a number
-
+
130001211020 = 225172292932647
BaseRepresentation
bin111100100010010101…
…1010000111010001100
3110102120000012202211102
41321010223100322030
54112220302223040
6135415521042232
712251360030012
oct1710453207214
9412500182742
10130001211020
1150151326a7a
1221241186378
13c34a209b05
1464137028b2
1535ad002515
hex1e44ad0e8c

130001211020 has 144 divisors (see below), whose sum is σ = 301144011840. Its totient is φ = 47074922496.

The previous prime is 130001211017. The next prime is 130001211059. The reversal of 130001211020 is 20112100031.

It is a junction number, because it is equal to n+sod(n) for n = 130001210992 and 130001211010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49111337 + ... + 49113983.

It is an arithmetic number, because the mean of its divisors is an integer number (2091277860).

Almost surely, 2130001211020 is an apocalyptic number.

130001211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130001211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150572005920).

130001211020 is an abundant number, since it is smaller than the sum of its proper divisors (171142800820).

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

130001211020 is a wasteful number, since it uses less digits than its factorization.

130001211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 130001211020 its reverse (20112100031), we get a palindrome (150113311051).

The spelling of 130001211020 in words is "one hundred thirty billion, one million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 289 290 293 340 493 578 580 586 986 1156 1172 1445 1465 1972 2465 2647 2890 2930 4930 4981 5294 5780 5860 8381 8497 9860 9962 10588 13235 16762 16994 19924 24905 26470 33524 33988 41905 42485 44999 49810 52940 76763 83810 84677 84970 89998 99620 144449 153526 167620 169354 169940 179996 224995 288898 307052 338708 383815 423385 449990 577796 722245 764983 767630 775571 846770 899980 1304971 1444490 1529966 1535260 1551142 1693540 2455633 2609942 2888980 3059932 3102284 3824915 3877855 4911266 5219884 6524855 7649830 7755710 9822532 12278165 13049710 13184707 15299660 15511420 22184507 22491559 24556330 26099420 26369414 44369014 44983118 49112660 52738828 65923535 88738028 89966236 110922535 112457795 131847070 221845070 224140019 224915590 263694140 382356503 443690140 448280038 449831180 764713006 896560076 1120700095 1529426012 1911782515 2241400190 3823565030 4482800380 6500060551 7647130060 13000121102 26000242204 32500302755 65000605510 130001211020