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101536114428 = 223275912753773
BaseRepresentation
bin101111010010000000…
…1100010011011111100
3100201002020010001002200
41132210001202123330
53130421221130203
6114351155151500
710223105506140
oct1364401423374
9321066101080
10101536114428
113a074542661
12178182a5590
139761b37aa8
144cb3085220
1529940199a3
hex17a40626fc

101536114428 has 144 divisors (see below), whose sum is σ = 300652584960. Its totient is φ = 28293535872.

The previous prime is 101536114417. The next prime is 101536114429. The reversal of 101536114428 is 824411635101.

101536114428 is a `hidden beast` number, since 1 + 0 + 1 + 536 + 114 + 4 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101536114392 and 101536114401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101536114429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1861350 + ... + 1915122.

Almost surely, 2101536114428 is an apocalyptic number.

101536114428 is a gapful number since it is divisible by the number (18) 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 101536114428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150326292480).

101536114428 is an abundant number, since it is smaller than the sum of its proper divisors (199116470532).

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

101536114428 is a wasteful number, since it uses less digits than its factorization.

101536114428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53976 (or 53971 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 101536114428 its reverse (824411635101), we get a palindrome (925947749529).

The spelling of 101536114428 in words is "one hundred one billion, five hundred thirty-six million, one hundred fourteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 127 177 236 252 254 354 381 413 508 531 708 762 826 889 1062 1143 1239 1524 1652 1778 2124 2286 2478 2667 3556 3717 4572 4956 5334 7434 7493 8001 10668 14868 14986 16002 22479 29972 32004 44958 52451 53773 67437 89916 104902 107546 134874 157353 161319 209804 215092 269748 314706 322638 376411 472059 483957 629412 645276 752822 944118 967914 1129233 1505644 1888236 1935828 2258466 3172607 3387699 4516932 6345214 6775398 6829171 9517821 12690428 13550796 13658342 19035642 20487513 22208249 27316684 28553463 38071284 40975026 44416498 47804197 57106926 61462539 66624747 81950052 88832996 95608394 114213852 122925078 133249494 143412591 191216788 199874241 245850156 266498988 286825182 399748482 402921089 430237773 573650364 799496964 805842178 860475546 1208763267 1611684356 1720951092 2417526534 2820447623 3626289801 4835053068 5640895246 7252579602 8461342869 11281790492 14505159204 16922685738 25384028607 33845371476 50768057214 101536114428