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152020630421331 = 371937123723393559
BaseRepresentation
bin100010100100001100001111…
…101011001011111101010011
3201221021000211010002122010120
4202210030033223023331103
5124411201222341440311
61255153151414401323
744010061640016420
oct4244141753137523
9657230733078116
10152020630421331
1144490650780a31
1215072749660243
1366a963a295489
142977ba2bb6d47
1512896136a4706
hex8a430facbf53

152020630421331 has 128 divisors (see below), whose sum is σ = 250813016064000. Its totient is φ = 79951234374144.

The previous prime is 152020630421287. The next prime is 152020630421351. The reversal of 152020630421331 is 133124036020251.

It is not a de Polignac number, because 152020630421331 - 214 = 152020630404947 is a prime.

It is a super-2 number, since 2×1520206304213312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152020630421292 and 152020630421301.

It is not an unprimeable number, because it can be changed into a prime (152020630421351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42714420930 + ... + 42714424488.

It is an arithmetic number, because the mean of its divisors is an integer number (1959476688000).

Almost surely, 2152020630421331 is an apocalyptic number.

152020630421331 is a deficient number, since it is larger than the sum of its proper divisors (98792385642669).

152020630421331 is a wasteful number, since it uses less digits than its factorization.

152020630421331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 152020630421331 its reverse (133124036020251), we get a palindrome (285144666441582).

The spelling of 152020630421331 in words is "one hundred fifty-two trillion, twenty billion, six hundred thirty million, four hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 19 21 37 57 111 133 259 399 703 777 1237 2109 2339 3559 3711 4921 7017 8659 10677 14763 16373 23503 24913 25977 44441 45769 49119 67621 70509 74739 86543 131683 133323 137307 164521 202863 259629 311087 320383 395049 473347 493563 605801 869611 921781 933261 961149 1420041 1644317 1817403 2501977 2608833 2765343 2893343 4402483 4932951 6087277 7505931 8324501 8680029 11510219 13207449 17513839 18261831 20253401 24973503 30817381 34530657 52541517 54973517 58271507 60760203 83647177 92452143 107053691 158165519 162891871 164920551 174814521 250941531 308006537 321161073 384814619 474496557 488675613 585530239 749375837 924019611 1107158633 1140243097 1154443857 1756590717 2034020129 2156045759 2248127511 3094945549 3321475899 3420729291 5852124203 6102060387 6468137277 9284836647 10297407737 14238140903 17556372609 21664618843 30892223211 40964869421 42714422709 64993856529 72081854159 122894608263 195650747003 216245562477 381004086269 586952241009 1143012258807 1369555229021 2667028603883 4108665687063 7239077639111 8001085811649 21717232917333 50673543473777 152020630421331