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130210101021 = 3711131013311297
BaseRepresentation
bin111100101000100100…
…0000111011100011101
3110110002120021111001010
41321101020013130131
54113132241213041
6135452342205433
712256504411530
oct1712110073435
9413076244033
10130210101021
1150249231140
122129b123879
13c381587670
14643335aa17
1535c1515a16
hex1e5120771d

130210101021 has 128 divisors (see below), whose sum is σ = 236304617472. Its totient is φ = 61585920000.

The previous prime is 130210101011. The next prime is 130210101029. The reversal of 130210101021 is 120101012031.

It is not a de Polignac number, because 130210101021 - 26 = 130210100957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130210100988 and 130210101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130210101029) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100392645 + ... + 100393941.

It is an arithmetic number, because the mean of its divisors is an integer number (1846129824).

Almost surely, 2130210101021 is an apocalyptic number.

130210101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130210101021 is a deficient number, since it is larger than the sum of its proper divisors (106094516451).

130210101021 is a wasteful number, since it uses less digits than its factorization.

130210101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763.

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

Adding to 130210101021 its reverse (120101012031), we get a palindrome (250311113052).

It can be divided in two parts, 13021010 and 1021, that added together give a palindrome (13022031).

The spelling of 130210101021 in words is "one hundred thirty billion, two hundred ten million, one hundred one thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 143 231 273 303 331 429 707 993 1001 1111 1297 1313 2121 2317 3003 3333 3641 3891 3939 4303 6951 7777 9079 9191 10923 12909 14267 14443 16861 23331 25487 27237 27573 30121 33431 42801 43329 47333 50583 76461 90363 99869 100293 101101 118027 130997 141999 185471 234017 299607 303303 331331 354081 367741 392991 429307 434603 556413 702051 916979 993993 1103223 1287921 1298297 1303809 1440967 1702961 2574187 2750937 3005149 3042221 3894891 4322901 4722377 4780633 5108883 5580991 7722561 9015447 9126663 10086769 11920727 14167131 14341899 16742973 18732571 30260307 33056639 33464431 35762181 39066937 43360007 56197713 61390901 99169917 100393293 117200811 130080021 131127997 184172703 303520049 393383991 429736307 476960077 563680091 910560147 1289208921 1430880231 1691040273 3338720539 3945760637 6200481001 10016161617 11837281911 18601443003 43403367007 130210101021