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1111200001020 = 2232519378781413
BaseRepresentation
bin10000001010111000101…
…011100110101111111100
310221020012102211202210100
4100022320223212233330
5121201214200013040
62210251144241100
7143165400110514
oct20127053465774
93836172752710
101111200001020
1139929148258a
1215b436770190
1380a2a28a505
143bad4b5a844
151dd88d99b30
hex102b8ae6bfc

1111200001020 has 144 divisors (see below), whose sum is σ = 3643935553440. Its totient is φ = 273137038848.

The previous prime is 1111200000991. The next prime is 1111200001049. The reversal of 1111200001020 is 201000021111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1111200000991) and next prime (1111200001049).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1111200000993 and 1111200001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4264167 + ... + 4517246.

It is an arithmetic number, because the mean of its divisors is an integer number (25305108010).

Almost surely, 21111200001020 is an apocalyptic number.

1111200001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111200001020 is an abundant number, since it is smaller than the sum of its proper divisors (2532735552420).

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

1111200001020 is a wasteful number, since it uses less digits than its factorization.

1111200001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781484 (or 8781479 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1111200001020 its reverse (201000021111), we get a palindrome (1312200022131).

The spelling of 1111200001020 in words is "one trillion, one hundred eleven billion, two hundred million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 285 333 342 370 380 444 555 570 666 684 703 740 855 1110 1140 1332 1406 1665 1710 2109 2220 2812 3330 3420 3515 4218 6327 6660 7030 8436 10545 12654 14060 21090 25308 31635 42180 63270 126540 8781413 17562826 26344239 35125652 43907065 52688478 79032717 87814130 105376956 131721195 158065434 166846847 175628260 263442390 316130868 324912281 333693694 395163585 500540541 526884780 649824562 667387388 790327170 834234235 974736843 1001081082 1299649124 1501621623 1580654340 1624561405 1668468470 1949473686 2002162164 2502702705 2924210529 3003243246 3249122810 3336936940 3898947372 4873684215 5005405410 5848421058 6006486492 6173333339 6498245620 7508108115 9747368430 10010810820 11696842116 12346666678 14621052645 15016216230 18520000017 19494736860 24693333356 29242105290 30032432460 30866666695 37040000034 55560000051 58484210580 61733333390 74080000068 92600000085 111120000102 123466666780 185200000170 222240000204 277800000255 370400000340 555600000510 1111200001020