Search a number
-
+
100132202211200 = 275271440722721
BaseRepresentation
bin10110110001000111011000…
…010101111110011110000000
3111010112112201100002200202022
4112301013120111332132000
5101111031222231224300
6552544033150541012
730043212213325355
oct2661073025763600
9433475640080668
10100132202211200
11299a5912786165
12b29235bb07768
1343b4570344713
141aa25d297262c
15b89a05b3a285
hex5b11d857e780

100132202211200 has 96 divisors (see below), whose sum is σ = 250841744453520. Its totient is φ = 39488755712000.

The previous prime is 100132202211143. The next prime is 100132202211253. The reversal of 100132202211200 is 2112202231001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220134161 + ... + 220588560.

Almost surely, 2100132202211200 is an apocalyptic number.

100132202211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132202211200 is an abundant number, since it is smaller than the sum of its proper divisors (150709542242320).

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

100132202211200 is an equidigital number, since it uses as much as digits as its factorization.

100132202211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440722816 (or 440722799 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100132202211200 its reverse (2112202231001), we get a palindrome (102244404442201).

The spelling of 100132202211200 in words is "one hundred trillion, one hundred thirty-two billion, two hundred two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 128 142 160 200 284 320 355 400 568 640 710 800 1136 1420 1600 1775 2272 2840 3200 3550 4544 5680 7100 9088 11360 14200 22720 28400 45440 56800 113600 227200 440722721 881445442 1762890884 2203613605 3525781768 4407227210 7051563536 8814454420 11018068025 14103127072 17628908840 22036136050 28206254144 31291313191 35257817680 44072272100 56412508288 62582626382 70515635360 88144544200 125165252764 141031270720 156456565955 176289088400 250330505528 282062541440 312913131910 352578176800 500661011056 625826263820 705156353600 782282829775 1001322022112 1251652527640 1410312707200 1564565659550 2002644044224 2503305055280 3129131319100 4005288088448 5006610110560 6258262638200 10013220221120 12516525276400 20026440442240 25033050552800 50066101105600 100132202211200