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211242204130040 = 2357339119298513
BaseRepresentation
bin110000000001111110101000…
…100010011110101011111000
31000200221120001102002100212122
4300001332220202132223320
5210141443013224130130
62025135155012100412
762331513512606066
oct6001765042365370
91020846042070778
10211242204130040
1161343352181a76
121b8381a2904708
1390b4092600ac5
143a2426a47d036
151964d63e3a2e5
hexc01fa889eaf8

211242204130040 has 128 divisors (see below), whose sum is σ = 477034733894400. Its totient is φ = 84188359557120.

The previous prime is 211242204130019. The next prime is 211242204130103. The reversal of 211242204130040 is 40031402242112.

It is a junction number, because it is equal to n+sod(n) for n = 211242204129991 and 211242204130009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24814068824 + ... + 24814077336.

It is an arithmetic number, because the mean of its divisors is an integer number (3726833858550).

Almost surely, 2211242204130040 is an apocalyptic number.

211242204130040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211242204130040 is an abundant number, since it is smaller than the sum of its proper divisors (265792529764360).

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

211242204130040 is a wasteful number, since it uses less digits than its factorization.

211242204130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11097 (or 11093 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 211242204130040 its reverse (40031402242112), we get a palindrome (251273606372152).

The spelling of 211242204130040 in words is "two hundred eleven trillion, two hundred forty-two billion, two hundred four million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 733 911 929 1466 1822 1858 2932 3644 3665 3716 4555 4645 5864 7288 7330 7432 8513 9110 9290 14660 17026 18220 18580 29320 34052 36440 37160 42565 68104 85130 170260 340520 667763 680957 846319 1335526 1361914 1692638 2671052 2723828 3338815 3385276 3404785 4231595 5342104 5447656 6240029 6677630 6770552 6809570 7755343 7908577 8463190 12480058 13355260 13619140 15510686 15817154 16926380 24960116 26710520 27238280 31021372 31200145 31634308 33852760 38776715 39542885 49920232 62042744 62400290 63268616 77553430 79085770 124800580 155106860 158171540 249601160 310213720 316343080 620351827 1240703654 2481407308 3101759135 4962814616 5684666419 5796986941 6203518270 7204713647 11369332838 11593973882 12407036540 14409427294 22738665676 23187947764 24814073080 28423332095 28818854588 28984934705 36023568235 45477331352 46375895528 56846664190 57637709176 57969869410 72047136470 113693328380 115939738820 144094272940 227386656760 231879477640 288188545880 5281055103251 10562110206502 21124220413004 26405275516255 42248440826008 52810551032510 105621102065020 211242204130040