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1003103103120 = 243571263223831
BaseRepresentation
bin11101001100011011001…
…10101010100010010000
310112220011222110101201020
432212031212222202100
5112413323343244440
62044452540435440
7132320554456626
oct16461546524220
93486158411636
101003103103120
11357460607228
121424a9248b80
137379113c131
143679c60b516
151b15ddc43d0
hexe98d9aa890

1003103103120 has 160 divisors (see below), whose sum is σ = 3165421400064. Its totient is φ = 262722700800.

The previous prime is 1003103103073. The next prime is 1003103103139. The reversal of 1003103103120 is 213013013001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1003103103120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4369605 + ... + 4593435.

Almost surely, 21003103103120 is an apocalyptic number.

1003103103120 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 1003103103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582710700032).

1003103103120 is an abundant number, since it is smaller than the sum of its proper divisors (2162318296944).

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

1003103103120 is a wasteful number, since it uses less digits than its factorization.

1003103103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224181 (or 224175 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1003103103120 its reverse (213013013001), we get a palindrome (1216116116121).

The spelling of 1003103103120 in words is "one trillion, three billion, one hundred three million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 263 284 355 426 526 568 710 789 852 1052 1065 1136 1315 1420 1578 1704 2104 2130 2630 2840 3156 3408 3945 4208 4260 5260 5680 6312 7890 8520 10520 12624 15780 17040 18673 21040 31560 37346 56019 63120 74692 93365 112038 149384 186730 223831 224076 280095 298768 373460 447662 448152 560190 671493 746920 895324 896304 1119155 1120380 1342986 1493840 1790648 2238310 2240760 2685972 3357465 3581296 4476620 4481520 5371944 6714930 8953240 10743888 13429860 15892001 17906480 26859720 31784002 47676003 53719440 58867553 63568004 79460005 95352006 117735106 127136008 158920010 176602659 190704012 235470212 238380015 254272016 294337765 317840020 353205318 381408024 470940424 476760030 588675530 635680040 706410636 762816048 883013295 941880848 953520060 1177351060 1271360080 1412821272 1766026590 1907040120 2354702120 2825642544 3532053180 3814080240 4179596263 4709404240 7064106360 8359192526 12538788789 14128212720 16718385052 20897981315 25077577578 33436770104 41795962630 50155155156 62693943945 66873540208 83591925260 100310310312 125387887890 167183850520 200620620624 250775775780 334367701040 501551551560 1003103103120