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22130001001240 = 23511316577246683
BaseRepresentation
bin1010000100000100010101…
…10110010011101100011000
32220100121101211010110200121
411002002022312103230120
510400034220224014430
6115022214311443024
74442561024554246
oct502021266235430
986317354113617
1022130001001240
11706230a701220
122594b38686474
13c46b089b0582
14567152397796
152859bad23a7a
hex14208ad93b18

22130001001240 has 128 divisors (see below), whose sum is σ = 56080074885120. Its totient is φ = 7786467993600.

The previous prime is 22130001001217. The next prime is 22130001001249. The reversal of 22130001001240 is 4210010003122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130001001249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89586939 + ... + 89833621.

It is an arithmetic number, because the mean of its divisors is an integer number (438125585040).

Almost surely, 222130001001240 is an apocalyptic number.

22130001001240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22130001001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28040037442560).

22130001001240 is an abundant number, since it is smaller than the sum of its proper divisors (33950073883880).

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

22130001001240 is a wasteful number, since it uses less digits than its factorization.

22130001001240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253313 (or 253309 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22130001001240 its reverse (4210010003122), we get a palindrome (26340011004362).

The spelling of 22130001001240 in words is "twenty-two trillion, one hundred thirty billion, one million, one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6577 6820 13154 13640 26308 32885 52616 65770 72347 131540 144694 203887 246683 263080 289388 361735 407774 493366 578776 723470 815548 986732 1019435 1233415 1446940 1631096 1973464 2038870 2242757 2466830 2713513 2893880 4077740 4485514 4933660 5427026 7647173 8155480 8971028 9867320 10854052 11213785 13567565 15294346 17942056 21708104 22427570 27135130 30588692 38235865 44855140 54270260 61177384 76471730 84118903 89710280 108540520 152943460 168237806 305886920 336475612 420594515 672951224 841189030 1622434091 1682378060 3244868182 3364756120 6489736364 8112170455 12979472728 16224340910 17846775001 32448681820 35693550002 50295456821 64897363640 71387100004 89233875005 100590913642 142774200008 178467750010 201181827284 251477284105 356935500020 402363654568 502954568210 553250025031 713871000040 1005909136420 1106500050062 2011818272840 2213000100124 2766250125155 4426000200248 5532500250310 11065000500620 22130001001240