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1011112103040 = 27351340509299
BaseRepresentation
bin11101011011010101111…
…10100100110010000000
310120122212010210202011220
432231222332210302000
5113031224144244130
62052255401235040
7133023205032624
oct16555276446200
93518763722156
101011112103040
1135a8a0471426
12143b63492a80
13744694b3840
1436d1c179184
151b47c09b410
hexeb6afa4c80

1011112103040 has 128 divisors (see below), whose sum is σ = 3470836824000. Its totient is φ = 248889126912.

The previous prime is 1011112103039. The next prime is 1011112103041. The reversal of 1011112103040 is 403012111101.

1011112103040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1011112103039) and next prime (1011112103041).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (1011112103041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20229690 + ... + 20279609.

Almost surely, 21011112103040 is an apocalyptic number.

1011112103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011112103040 is an abundant number, since it is smaller than the sum of its proper divisors (2459724720960).

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

1011112103040 is a wasteful number, since it uses less digits than its factorization.

1011112103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40509334 (or 40509322 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1011112103040 its reverse (403012111101), we get a palindrome (1414124214141).

The spelling of 1011112103040 in words is "one trillion, eleven billion, one hundred twelve million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 40509299 81018598 121527897 162037196 202546495 243055794 324074392 405092990 486111588 526620887 607639485 648148784 810185980 972223176 1053241774 1215278970 1296297568 1579862661 1620371960 1944446352 2106483548 2430557940 2592595136 2633104435 3159725322 3240743920 3888892704 4212967096 4861115880 5185190272 5266208870 6319450644 6481487840 7777785408 7899313305 8425934192 9722231760 10532417740 12638901288 12962975680 15555570816 15798626610 16851868384 19444463520 21064835480 25277802576 25925951360 31597253220 33703736768 38888927040 42129670960 50555605152 63194506440 67407473536 77777854080 84259341920 101111210304 126389012880 168518683840 202222420608 252778025760 337037367680 505556051520 1011112103040