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100220211120000 = 27354417584213
BaseRepresentation
bin10110110010011001010110…
…000101010100011110000000
3111010211221212211101111020010
4112302121112011110132000
5101114001443021320000
6553052310203144520
730052446154603326
oct2662312605243600
9433757784344203
10100220211120000
1129a2a175494a34
12b2a7421b15140
1343bc9577bb60a
141aa6981253d16
15b8be572b3d50
hex5b2656154780

100220211120000 has 160 divisors (see below), whose sum is σ = 332655936556680. Its totient is φ = 26725389568000.

The previous prime is 100220211119983. The next prime is 100220211120049. The reversal of 100220211120000 is 21112022001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 208552107 + ... + 209032106.

Almost surely, 2100220211120000 is an apocalyptic number.

100220211120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220211120000 is an abundant number, since it is smaller than the sum of its proper divisors (232435725436680).

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

100220211120000 is an frugal number, since it uses more digits than its factorization.

100220211120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417584250 (or 417584223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100220211120000 its reverse (21112022001), we get a palindrome (100241323142001).

The spelling of 100220211120000 in words is "one hundred trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 417584213 835168426 1252752639 1670336852 2087921065 2505505278 3340673704 4175842130 5011010556 6263763195 6681347408 8351684260 10022021112 10439605325 12527526390 13362694816 16703368520 20044042224 20879210650 25055052780 26725389632 31318815975 33406737040 40088084448 41758421300 50110105560 52198026625 53450779264 62637631950 66813474080 80176168896 83516842600 100220211120 104396053250 125275263900 133626948160 156594079875 160352337792 167033685200 200440422240 208792106500 250550527800 260990133125 267253896320 313188159750 334067370400 400880844480 417584213000 501101055600 521980266250 626376319500 668134740800 782970399375 801761688960 835168426000 1002202111200 1043960532500 1252752639000 1336269481600 1565940798750 1670336852000 2004404222400 2087921065000 2505505278000 3131881597500 3340673704000 4008808444800 4175842130000 5011010556000 6263763195000 6681347408000 8351684260000 10022021112000 12527526390000 16703368520000 20044042224000 25055052780000 33406737040000 50110105560000 100220211120000