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1003211021040 = 243523315862617
BaseRepresentation
bin11101001100101000000…
…10010101101011110000
310112220110111112012021020
432212110002111223300
5112414034010133130
62044511353455440
7132323334660264
oct16462402255360
93486414465236
101003211021040
11357506516598
12142519411580
13737aa5c58a7
14367acaa00a4
151b1685dee10
hexe994095af0

1003211021040 has 160 divisors (see below), whose sum is σ = 3349853024256. Its totient is φ = 247636899840.

The previous prime is 1003211021039. The next prime is 1003211021081. The reversal of 1003211021040 is 401201123001.

It is a super-2 number, since 2×10032110210402 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 2760189 + ... + 3102428.

Almost surely, 21003211021040 is an apocalyptic number.

1003211021040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003211021040 is an abundant number, since it is smaller than the sum of its proper divisors (2346642003216).

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

1003211021040 is a wasteful number, since it uses less digits than its factorization.

1003211021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862687 (or 5862681 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1003211021040 its reverse (401201123001), we get a palindrome (1404412144041).

The spelling of 1003211021040 in words is "one trillion, three billion, two hundred eleven million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 620 690 713 744 920 930 1104 1240 1380 1426 1488 1840 1860 2139 2480 2760 2852 3565 3720 4278 5520 5704 7130 7440 8556 10695 11408 14260 17112 21390 28520 34224 42780 57040 85560 171120 5862617 11725234 17587851 23450468 29313085 35175702 46900936 58626170 70351404 87939255 93801872 117252340 134840191 140702808 175878510 181741127 234504680 269680382 281405616 351757020 363482254 404520573 469009360 539360764 545223381 674200955 703514040 726964508 809041146 908705635 1078721528 1090446762 1348401910 1407028080 1453929016 1618082292 1817411270 2022602865 2157443056 2180893524 2696803820 2726116905 2907858032 3236164584 3634822540 4045205730 4180045921 4361787048 5393607640 5452233810 6472329168 7269645080 8090411460 8360091842 8723574096 10787215280 10904467620 12540137763 14539290160 16180822920 16720183684 20900229605 21808935240 25080275526 32361645840 33440367368 41800459210 43617870480 50160551052 62700688815 66880734736 83600918420 100321102104 125401377630 167201836840 200642204208 250802755260 334403673680 501605510520 1003211021040