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2101540936 = 2311417379101
BaseRepresentation
bin111110101000010…
…1111100001001000
312102110102100012111
41331100233201020
513300443302221
6544311152104
7103035542335
oct17520574110
95373370174
102101540936
119892a08a0
124a7975634
1327650a361
1415d16b98c
15c476dbe1
hex7d42f848

2101540936 has 128 divisors (see below), whose sum is σ = 4565030400. Its totient is φ = 898560000.

The previous prime is 2101540919. The next prime is 2101540943. The reversal of 2101540936 is 6390451012.

It is a junction number, because it is equal to n+sod(n) for n = 2101540898 and 2101540907.

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, 20807286 + ... + 20807386.

It is an arithmetic number, because the mean of its divisors is an integer number (35664300).

Almost surely, 22101540936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101540936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282515200).

2101540936 is an abundant number, since it is smaller than the sum of its proper divisors (2463489464).

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

2101540936 is a wasteful number, since it uses less digits than its factorization.

2101540936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 2101540936 is about 45842.5668565799. The cubic root of 2101540936 is about 1280.8923091271.

Adding to 2101540936 its reverse (6390451012), we get a palindrome (8491991948).

The spelling of 2101540936 in words is "two billion, one hundred one million, five hundred forty thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 41 44 73 79 82 88 101 146 158 164 202 292 316 328 404 451 584 632 803 808 869 902 1111 1606 1738 1804 2222 2993 3212 3239 3476 3608 4141 4444 5767 5986 6424 6478 6952 7373 7979 8282 8888 11534 11972 12956 14746 15958 16564 23068 23944 25912 29492 31916 32923 33128 35629 45551 46136 58984 63437 63832 65846 71258 81103 87769 91102 126874 131692 142516 162206 175538 182204 236447 253748 263384 285032 302293 324412 327139 351076 364408 472894 507496 582467 604586 648824 654278 702152 945788 1164934 1209172 1308556 1891576 2329868 2418344 2600917 2617112 3325223 3598529 4659736 5201834 6407137 6650446 7197058 10403668 12814274 13300892 14394116 20807336 23881147 25628548 26601784 28788232 47762294 51257096 95524588 191049176 262692617 525385234 1050770468 2101540936