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10620201312 = 253277966683
BaseRepresentation
bin10011110010000001…
…10110100101100000
31000102010210010101100
421321000312211200
5133222232420222
64513455434400
7524115136020
oct117100664540
930363703340
1010620201312
11455a910486
122084825a00
131003339cb6
1472a687a80
1542256b4ac
hex279036960

10620201312 has 144 divisors (see below), whose sum is σ = 34953085440. Its totient is φ = 2995888896.

The previous prime is 10620201301. The next prime is 10620201313. The reversal of 10620201312 is 21310202601.

10620201312 is a `hidden beast` number, since 1 + 0 + 620 + 20 + 13 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106202013122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10620201313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125923 + ... + 192605.

It is an arithmetic number, because the mean of its divisors is an integer number (242729760).

Almost surely, 210620201312 is an apocalyptic number.

10620201312 is a gapful number since it is divisible by the number (12) 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 10620201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476542720).

10620201312 is an abundant number, since it is smaller than the sum of its proper divisors (24332884128).

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

10620201312 is a wasteful number, since it uses less digits than its factorization.

10620201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66785 (or 66774 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10620201312 its reverse (21310202601), we get a palindrome (31930403913).

The spelling of 10620201312 in words is "ten billion, six hundred twenty million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 474 504 553 632 672 711 948 1008 1106 1264 1422 1659 1896 2016 2212 2528 2844 3318 3792 4424 4977 5688 6636 7584 8848 9954 11376 13272 17696 19908 22752 26544 39816 53088 66683 79632 133366 159264 200049 266732 400098 466781 533464 600147 800196 933562 1066928 1200294 1400343 1600392 1867124 2133856 2400588 2800686 3200784 3734248 4201029 4801176 5267957 5601372 6401568 7468496 8402058 9602352 10535914 11202744 14936992 15803871 16804116 19204704 21071828 22405488 31607742 33608232 36875699 42143656 44810976 47411613 63215484 67216464 73751398 84287312 94823226 110627097 126430968 134432928 147502796 168574624 189646452 221254194 252861936 295005592 331881291 379292904 442508388 505723872 590011184 663762582 758585808 885016776 1180022368 1327525164 1517171616 1770033552 2655050328 3540067104 5310100656 10620201312