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102164327070 = 235132979114343
BaseRepresentation
bin101111100100101110…
…1111110101010011110
3100202201000012112211120
41133021131332222132
53133213031431240
6114533400031410
710244504310651
oct1371135765236
9322630175746
10102164327070
113a367110063
1217972762566
139832030c50
144d32693898
1529ce25bad0
hex17c977ea9e

102164327070 has 128 divisors (see below), whose sum is σ = 276621004800. Its totient is φ = 23973401088.

The previous prime is 102164327053. The next prime is 102164327077. The reversal of 102164327070 is 70723461201.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102164327077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 836319 + ... + 950661.

It is an arithmetic number, because the mean of its divisors is an integer number (2161101600).

Almost surely, 2102164327070 is an apocalyptic number.

102164327070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102164327070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138310502400).

102164327070 is an abundant number, since it is smaller than the sum of its proper divisors (174456677730).

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

102164327070 is a wasteful number, since it uses less digits than its factorization.

102164327070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114474.

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 102164327070 its reverse (70723461201), we get a palindrome (172887788271).

The spelling of 102164327070 in words is "one hundred two billion, one hundred sixty-four million, three hundred twenty-seven thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 79 87 130 145 158 174 195 237 290 377 390 395 435 474 754 790 870 1027 1131 1185 1885 2054 2262 2291 2370 3081 3770 4582 5135 5655 6162 6873 10270 11310 11455 13746 15405 22910 29783 30810 34365 59566 68730 89349 114343 148915 178698 228686 297830 343029 446745 571715 686058 893490 1143430 1486459 1715145 2972918 3315947 3430290 4459377 6631894 7432295 8918754 9033097 9947841 14864590 16579735 18066194 19895682 22296885 27099291 33159470 43107311 44593770 45165485 49739205 54198582 86214622 90330970 99478410 117430261 129321933 135496455 215536555 234860522 258643866 261959813 270992910 352290783 431073110 523919626 587151305 646609665 704581566 785879439 1174302610 1293219330 1309799065 1571758878 1761453915 2619598130 3405477569 3522907830 3929397195 6810955138 7858794390 10216432707 17027387845 20432865414 34054775690 51082163535 102164327070