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2220151232100 = 2235217597378369
BaseRepresentation
bin100000010011101011010…
…100110101011001100100
321212020121011020012011010
4200103223110311121210
5242333332203411400
64415531241542220
7316254263046624
oct40235324653144
97766534205133
102220151232100
11786619544a0a
122ba3441a4970
1313148969bb09
1479654d82884
153cb405e2450
hex204eb535664

2220151232100 has 144 divisors (see below), whose sum is σ = 6916779172800. Its totient is φ = 547770040320.

The previous prime is 2220151232071. The next prime is 2220151232113. The reversal of 2220151232100 is 12321510222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3388285 + ... + 3990084.

It is an arithmetic number, because the mean of its divisors is an integer number (48033188700).

Almost surely, 22220151232100 is an apocalyptic number.

2220151232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220151232100 is an abundant number, since it is smaller than the sum of its proper divisors (4696627940700).

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

2220151232100 is a wasteful number, since it uses less digits than its factorization.

2220151232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378462 (or 7378455 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 2220151232100 its reverse (12321510222), we get a palindrome (2232472742322).

The spelling of 2220151232100 in words is "two trillion, two hundred twenty billion, one hundred fifty-one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 59 60 68 75 85 100 102 118 150 170 177 204 236 255 295 300 340 354 425 510 590 708 850 885 1003 1020 1180 1275 1475 1700 1770 2006 2550 2950 3009 3540 4012 4425 5015 5100 5900 6018 8850 10030 12036 15045 17700 20060 25075 30090 50150 60180 75225 100300 150450 300900 7378369 14756738 22135107 29513476 36891845 44270214 73783690 88540428 110675535 125432273 147567380 184459225 221351070 250864546 368918450 376296819 435323771 442702140 501729092 553377675 627161365 737836900 752593638 870647542 1106755350 1254322730 1305971313 1505187276 1741295084 1881484095 2176618855 2213510700 2508645460 2611942626 3135806825 3762968190 4353237710 5223885252 6271613650 6529856565 7400504107 7525936380 8706475420 9407420475 10883094275 12543227300 13059713130 14801008214 18814840950 21766188550 22201512321 26119426260 29602016428 32649282825 37002520535 37629681900 43532377100 44403024642 65298565650 74005041070 88806049284 111007561605 130597131300 148010082140 185012602675 222015123210 370025205350 444030246420 555037808025 740050410700 1110075616050 2220151232100