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1353352070200 = 2352131493493423
BaseRepresentation
bin10011101100011010000…
…100011100010000111000
311210101020102200102201011
4103230122010130100320
5134133131112221300
62513415451403304
7166530216535504
oct23543204342070
94711212612634
101353352070200
11481a53a64199
1219a356a53534
139a80b47ac50
144970716b304
152530cc05eba
hex13b1a11c438

1353352070200 has 96 divisors (see below), whose sum is σ = 3411328536000. Its totient is φ = 496345397760.

The previous prime is 1353352070197. The next prime is 1353352070249. The reversal of 1353352070200 is 20702533531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1359312 + ... + 2134111.

It is an arithmetic number, because the mean of its divisors is an integer number (35534672250).

Almost surely, 21353352070200 is an apocalyptic number.

1353352070200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353352070200 is an abundant number, since it is smaller than the sum of its proper divisors (2057976465800).

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

1353352070200 is a wasteful number, since it uses less digits than its factorization.

1353352070200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493601 (or 3493592 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 31.

The spelling of 1353352070200 in words is "one trillion, three hundred fifty-three billion, three hundred fifty-two million, seventy thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 149 200 260 298 325 520 596 650 745 1192 1300 1490 1937 2600 2980 3725 3874 5960 7450 7748 9685 14900 15496 19370 29800 38740 48425 77480 96850 193700 387400 3493423 6986846 13973692 17467115 27947384 34934230 45414499 69868460 87335575 90828998 139736920 174671150 181657996 227072495 349342300 363315992 454144990 520520027 698684600 908289980 1041040054 1135362475 1816579960 2082080108 2270724950 2602600135 4164160216 4541449900 5205200270 6766760351 9082899800 10410400540 13013000675 13533520702 20820801080 26026001350 27067041404 33833801755 52052002700 54134082808 67667603510 104104005400 135335207020 169169008775 270670414040 338338017550 676676035100 1353352070200