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133211021300 = 225274114931151
BaseRepresentation
bin111110000001111111…
…1101101111111110100
3110201211201001000202122
41330003333231333310
54140304010140200
6141110222255112
712424043666330
oct1740377557764
9421751030678
10133211021300
115154916aa45
1221998127498
13c73c201a36
146639b227c0
1536e9bdc385
hex1f03fedff4

133211021300 has 144 divisors (see below), whose sum is σ = 340703193600. Its totient is φ = 44257920000.

The previous prime is 133211021299. The next prime is 133211021329. The reversal of 133211021300 is 3120112331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4260725 + ... + 4291875.

It is an arithmetic number, because the mean of its divisors is an integer number (2365994400).

Almost surely, 2133211021300 is an apocalyptic number.

133211021300 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 133211021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170351596800).

133211021300 is an abundant number, since it is smaller than the sum of its proper divisors (207492172300).

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

133211021300 is a wasteful number, since it uses less digits than its factorization.

133211021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31362 (or 31355 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 133211021300 its reverse (3120112331), we get a palindrome (136331133631).

The spelling of 133211021300 in words is "one hundred thirty-three billion, two hundred eleven million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 149 164 175 205 287 298 350 410 574 596 700 745 820 1025 1043 1148 1435 1490 2050 2086 2870 2980 3725 4100 4172 5215 5740 6109 7175 7450 10430 12218 14350 14900 20860 24436 26075 28700 30545 31151 42763 52150 61090 62302 85526 104300 122180 124604 152725 155755 171052 213815 218057 305450 311510 427630 436114 610900 623020 778775 855260 872228 1069075 1090285 1277191 1557550 2138150 2180570 2554382 3115100 4276300 4361140 4641499 5108764 5451425 6385955 8940337 9282998 10902850 12771910 17880674 18565996 21805700 23207495 25543820 31929775 32490493 35761348 44701685 46414990 63859550 64980986 89403370 92829980 116037475 127719100 129961972 162452465 178806740 190301459 223508425 232074950 324904930 380602918 447016850 464149900 649809860 761205836 812262325 894033700 951507295 1332110213 1624524650 1903014590 2664220426 3249049300 3806029180 4757536475 5328440852 6660551065 9515072950 13321102130 19030145900 26642204260 33302755325 66605510650 133211021300