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1013104100340 = 2232561107862319
BaseRepresentation
bin11101011111000011011…
…01011100001111110100
310120211222222002200202200
432233201231130033310
5113044314122202330
62053225200504500
7133123443524133
oct16574155341764
93524888080680
101013104100340
11360722942492
1214441a61b130
13746c60b8477
143706a94d91a
151b546dcca60
hexebe1b5c3f4

1013104100340 has 144 divisors (see below), whose sum is σ = 3152655717120. Its totient is φ = 263248439040.

The previous prime is 1013104100291. The next prime is 1013104100347. The reversal of 1013104100340 is 430014013101.

1013104100340 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 4 + 10 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013104100347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 743701 + ... + 1606019.

It is an arithmetic number, because the mean of its divisors is an integer number (21893442480).

Almost surely, 21013104100340 is an apocalyptic number.

1013104100340 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 1013104100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576327858560).

1013104100340 is an abundant number, since it is smaller than the sum of its proper divisors (2139551616780).

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

1013104100340 is a wasteful number, since it uses less digits than its factorization.

1013104100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862502 (or 862497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1013104100340 its reverse (430014013101), we get a palindrome (1443118113441).

The spelling of 1013104100340 in words is "one trillion, thirteen billion, one hundred four million, one hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 107 122 180 183 214 244 305 321 366 428 535 549 610 642 732 915 963 1070 1098 1220 1284 1605 1830 1926 2140 2196 2745 3210 3660 3852 4815 5490 6420 6527 9630 10980 13054 19260 19581 26108 32635 39162 58743 65270 78324 97905 117486 130540 195810 234972 293715 391620 587430 862319 1174860 1724638 2586957 3449276 4311595 5173914 7760871 8623190 10347828 12934785 15521742 17246380 25869570 31043484 38804355 51739140 52601459 77608710 92268133 105202918 155217420 157804377 184536266 210405836 263007295 276804399 315608754 369072532 461340665 473413131 526014590 553608798 631217508 789021885 830413197 922681330 946826262 1052029180 1107217596 1384021995 1578043770 1660826394 1845362660 1893652524 2367065655 2768043990 3156087540 3321652788 4152065985 4734131310 5536087980 5628356113 8304131970 9468262620 11256712226 16608263940 16885068339 22513424452 28141780565 33770136678 50655205017 56283561130 67540273356 84425341695 101310410034 112567122260 168850683390 202620820068 253276025085 337701366780 506552050170 1013104100340