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102002130321 = 37213173784859
BaseRepresentation
bin101111011111111001…
…1001111110110010001
3100202021201000002201120
41132333303033312101
53132400021132241
6114505323352453
710240464542100
oct1367763176621
9322251002646
10102002130321
113a2935a8263
1217928382729
139807551640
144d18d12037
1529bedbd666
hex17bfccfd91

102002130321 has 96 divisors (see below), whose sum is σ = 185277214080. Its totient is φ = 49269233664.

The previous prime is 102002130319. The next prime is 102002130323. The reversal of 102002130321 is 123031200201.

It is an interprime number because it is at equal distance from previous prime (102002130319) and next prime (102002130323).

It is not a de Polignac number, because 102002130321 - 21 = 102002130319 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102002130321.

It is not an unprimeable number, because it can be changed into a prime (102002130323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1159590 + ... + 1244448.

It is an arithmetic number, because the mean of its divisors is an integer number (1929970980).

Almost surely, 2102002130321 is an apocalyptic number.

It is an amenable number.

102002130321 is a deficient number, since it is larger than the sum of its proper divisors (83275083759).

102002130321 is a wasteful number, since it uses less digits than its factorization.

102002130321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84943 (or 84936 counting only the distinct ones).

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

Adding to 102002130321 its reverse (123031200201), we get a palindrome (225033330522).

The spelling of 102002130321 in words is "one hundred two billion, two million, one hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 7 13 17 21 37 39 49 51 91 111 119 147 221 259 273 357 481 629 637 663 777 833 1443 1547 1813 1887 1911 2499 3367 4403 4641 5439 8177 10101 10829 13209 23569 24531 30821 32487 57239 70707 84859 92463 171717 254577 400673 594013 1103167 1202019 1442603 1782039 3139783 3309501 4158091 4327809 7722169 9419349 10098221 12474273 18753839 21978481 23166507 30294663 40817179 53376311 54055183 56261517 65935443 70687547 122451537 131276873 153849367 160128933 162165549 212062641 285720253 373634177 393830619 461548101 693892043 857160759 918938111 1120902531 2000041771 2081676129 2615439239 2756814333 4857244301 6000125313 7846317717 14571732903 34000710107 102002130321