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1001120102040 = 2335311402919183
BaseRepresentation
bin11101001000101110110…
…10000111011010011000
310112201001210002111121210
432210113122013122120
5112400243221231130
62043524102103120
7132220455314442
oct16442732073230
93481053074553
101001120102040
11356633220163
1214203511aaa0
1373536367206
14366510d9492
151b094c6d5b0
hexe917687698

1001120102040 has 128 divisors (see below), whose sum is σ = 3100625510400. Its totient is φ = 258321692160.

The previous prime is 1001120102033. The next prime is 1001120102069. The reversal of 1001120102040 is 402010211001.

It is a happy number.

1001120102040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 52178289 + ... + 52197471.

It is an arithmetic number, because the mean of its divisors is an integer number (24223636800).

Almost surely, 21001120102040 is an apocalyptic number.

1001120102040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001120102040 is an abundant number, since it is smaller than the sum of its proper divisors (2099505408360).

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

1001120102040 is a wasteful number, since it uses less digits than its factorization.

1001120102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33257 (or 33253 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001120102040 its reverse (402010211001), we get a palindrome (1403130313041).

The spelling of 1001120102040 in words is "one trillion, one billion, one hundred twenty million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 14029 19183 28058 38366 42087 56116 57549 70145 76732 84174 95915 112232 115098 140290 153464 168348 191830 210435 230196 280580 287745 336696 383660 420870 434899 460392 561160 575490 594673 767320 841740 869798 1150980 1189346 1304697 1683480 1739596 1784019 2174495 2301960 2378692 2609394 2973365 3479192 3568038 4348990 4757384 5218788 5946730 6523485 7136076 8697980 8920095 10437576 11893460 13046970 14272152 17395960 17840190 23786920 26093940 35680380 52187880 71360760 269118307 538236614 807354921 1076473228 1345591535 1614709842 2152946456 2691183070 3229419684 4036774605 5382366140 6458839368 8073549210 8342667517 10764732280 16147098420 16685335034 25028002551 32294196840 33370670068 41713337585 50056005102 66741340136 83426675170 100112010204 125140012755 166853350340 200224020408 250280025510 333706700680 500560051020 1001120102040