Search a number
-
+
121232332100 = 225211222514451
BaseRepresentation
bin111000011101000000…
…0101001010101000100
3102120220220000120100002
41300322000221111010
53441240434111400
6131405433340432
711521151551235
oct1607200512504
9376826016302
10121232332100
1147461544500
121b5b4567718
13b5805bc169
145c20c9108c
15324827aed5
hex1c3a029544

121232332100 has 108 divisors (see below), whose sum is σ = 289357615344. Its totient is φ = 44055000000.

The previous prime is 121232332079. The next prime is 121232332201. The reversal of 121232332100 is 1233232121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27234875 + ... + 27239325.

Almost surely, 2121232332100 is an apocalyptic number.

121232332100 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 121232332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144678807672).

121232332100 is an abundant number, since it is smaller than the sum of its proper divisors (168125283244).

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

121232332100 is a wasteful number, since it uses less digits than its factorization.

121232332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 121232332100 its reverse (1233232121), we get a palindrome (122465564221).

The spelling of 121232332100 in words is "one hundred twenty-one billion, two hundred thirty-two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2251 2420 3025 4451 4502 6050 8902 9004 11255 12100 17804 22255 22510 24761 44510 45020 48961 49522 56275 89020 97922 99044 111275 112550 123805 195844 222550 225100 244805 247610 272371 445100 489610 495220 538571 544742 619025 979220 1077142 1089484 1224025 1238050 1361855 2154284 2448050 2476100 2692855 2723710 4896100 5385710 5447420 6809275 10019201 10771420 13464275 13618550 20038402 26928550 27237100 40076804 50096005 53857100 100192010 110211211 200384020 220422422 250480025 440844844 500960050 551056055 1001920100 1102112110 1212323321 2204224220 2424646642 2755280275 4849293284 5510560550 6061616605 11021121100 12123233210 24246466420 30308083025 60616166050 121232332100