Search a number
-
+
1020703666820 = 225798314952237
BaseRepresentation
bin11101101101001101010…
…11011111001010000100
310121120121121000200010212
432312212223133022010
5113210400114314240
62100523233534552
7133512663005465
oct16664653371204
93546547020125
101020703666820
11363972679242
1214599b714458
1375337697876
143758bd7cd6c
151b83e17b165
hexeda6adf284

1020703666820 has 96 divisors (see below), whose sum is σ = 2211547968000. Its totient is φ = 395576123904.

The previous prime is 1020703666819. The next prime is 1020703666823. The reversal of 1020703666820 is 286663070201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1020703666823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19513742 + ... + 19565978.

It is an arithmetic number, because the mean of its divisors is an integer number (23036958000).

Almost surely, 21020703666820 is an apocalyptic number.

1020703666820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020703666820 is an abundant number, since it is smaller than the sum of its proper divisors (1190844301180).

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

1020703666820 is a wasteful number, since it uses less digits than its factorization.

1020703666820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52557 (or 52555 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 1020703666820 in words is "one trillion, twenty billion, seven hundred three million, six hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 79 83 149 158 166 298 316 332 395 415 596 745 790 830 1490 1580 1660 2980 6557 11771 12367 13114 23542 24734 26228 32785 47084 49468 52237 58855 61835 65570 104474 117710 123670 131140 208948 235420 247340 261185 522370 976993 1044740 1953986 3907972 4126723 4335671 4884965 7783313 8253446 8671342 9769930 15566626 16506892 17342684 19539860 20633615 21678355 31133252 38916565 41267230 43356710 77833130 82534460 86713420 155666260 342518009 614881727 646014979 685036018 1229763454 1292029958 1370072036 1712590045 2459526908 2584059916 3074408635 3230074895 3425180090 6148817270 6460149790 6850360180 12297634540 12920299580 51035183341 102070366682 204140733364 255175916705 510351833410 1020703666820