Search a number
-
+
1212300032100 = 2235240145722051
BaseRepresentation
bin10001101001000010101…
…101100111100001100100
311021220011021101110222220
4101221002231213201210
5124330242302011400
62324531204552340
7153404632151643
oct21510255474144
94256137343886
101212300032100
11428151844283
12176b509b26b0
138a41c95bb01
1442965d2735a
15218049747a0
hex11a42b67864

1212300032100 has 144 divisors (see below), whose sum is σ = 3524189395776. Its totient is φ = 321753600000.

The previous prime is 1212300032059. The next prime is 1212300032101. The reversal of 1212300032100 is 12300032121.

It is a super-2 number, since 2×12123000321002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1212300032100.

It is not an unprimeable number, because it can be changed into a prime (1212300032101) 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, 54966075 + ... + 54988125.

Almost surely, 21212300032100 is an apocalyptic number.

1212300032100 is a gapful number since it is divisible by the number (10) 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 1212300032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762094697888).

1212300032100 is an abundant number, since it is smaller than the sum of its proper divisors (2311889363676).

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

1212300032100 is a wasteful number, since it uses less digits than its factorization.

1212300032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22926 (or 22919 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1212300032100 its reverse (12300032121), we get a palindrome (1224600064221).

The spelling of 1212300032100 in words is "one trillion, two hundred twelve billion, three hundred million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 401 457 802 914 1203 1371 1604 1828 2005 2285 2406 2742 4010 4570 4812 5484 6015 6855 8020 9140 10025 11425 12030 13710 20050 22051 22850 24060 27420 30075 34275 40100 44102 45700 60150 66153 68550 88204 110255 120300 132306 137100 183257 220510 264612 330765 366514 441020 549771 551275 661530 733028 916285 1099542 1102550 1323060 1653825 1832570 2199084 2205100 2748855 3307650 3665140 4581425 5497710 6615300 8842451 9162850 10077307 10995420 13744275 17684902 18325700 20154614 26527353 27488550 30231921 35369804 40309228 44212255 50386535 53054706 54977100 60463842 88424510 100773070 106109412 120927684 132636765 151159605 176849020 201546140 221061275 251932675 265273530 302319210 442122550 503865350 530547060 604638420 663183825 755798025 884245100 1007730700 1326367650 1511596050 2652735300 3023192100 4041000107 8082000214 12123000321 16164000428 20205000535 24246000642 40410001070 48492001284 60615001605 80820002140 101025002675 121230003210 202050005350 242460006420 303075008025 404100010700 606150016050 1212300032100