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1376101007320 = 2351337314994733
BaseRepresentation
bin10100000001100110000…
…000101111111111011000
311212112221211211011202211
4110001212000233333120
5140021223324213240
62532101100204504
7201264031365364
oct24014600577730
94775854734684
101376101007320
11490668164376
121a2845539734
139c9c55149a0
144a8645842a4
1525bdee71bea
hex1406602ffd8

1376101007320 has 128 divisors (see below), whose sum is σ = 3346275240000. Its totient is φ = 506291595264.

The previous prime is 1376101007311. The next prime is 1376101007357. The reversal of 1376101007320 is 237001016731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290743674 + ... + 290748406.

Almost surely, 21376101007320 is an apocalyptic number.

1376101007320 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 1376101007320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673137620000).

1376101007320 is an abundant number, since it is smaller than the sum of its proper divisors (1970174232680).

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

1376101007320 is a wasteful number, since it uses less digits than its factorization.

1376101007320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The spelling of 1376101007320 in words is "one trillion, three hundred seventy-six billion, one hundred one million, seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 373 520 746 1492 1499 1865 2984 2998 3730 4733 4849 5996 7460 7495 9466 9698 11992 14920 14990 18932 19396 19487 23665 24245 29980 37864 38792 38974 47330 48490 59960 61529 77948 94660 96980 97435 123058 155896 189320 193960 194870 246116 307645 389740 492232 559127 615290 779480 1118254 1230580 1765409 2236508 2461160 2795635 3530818 4473016 5591270 7061636 7094767 7268651 8827045 11182540 14123272 14189534 14537302 17654090 22365080 22950317 28379068 29074604 35308180 35473835 36343255 45900634 56758136 58149208 70616360 70947670 72686510 91801268 92231971 114751585 141895340 145373020 183602536 184463942 229503170 283790680 290746040 368927884 459006340 461159855 737855768 918012680 922319710 1844639420 2646348091 3689278840 5292696182 10585392364 13231740455 21170784728 26463480910 34402525183 52926961820 68805050366 105853923640 137610100732 172012625915 275220201464 344025251830 688050503660 1376101007320